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42041121120 = 2533522694289
BaseRepresentation
bin100111001001110110…
…001001100101100000
311000111220210020022000
4213021312021211200
51142100011333440
631151411044000
73015550430145
oct471166114540
9130456706260
1042041121120
11169141315a9
1281935a0600
133c6cbc683b
14206b6cc3cc
151160cbd730
hex9c9d89960

42041121120 has 192 divisors, whose sum is σ = 147243096000. Its totient is φ = 11203411968.

The previous prime is 42041121119. The next prime is 42041121121. The reversal of 42041121120 is 2112114024.

42041121120 is a `hidden beast` number, since 4 + 20 + 411 + 211 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (42041121119) and next prime (42041121121).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42041121093 and 42041121102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42041121121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9799936 + ... + 9804224.

It is an arithmetic number, because the mean of its divisors is an integer number (766891125).

Almost surely, 242041121120 is an apocalyptic number.

42041121120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42041121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73621548000).

42041121120 is an abundant number, since it is smaller than the sum of its proper divisors (105201974880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42041121120 is a wasteful number, since it uses less digits than its factorization.

42041121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6582 (or 6568 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 42041121120 its reverse (2112114024), we get a palindrome (44153235144).

The spelling of 42041121120 in words is "forty-two billion, forty-one million, one hundred twenty-one thousand, one hundred twenty".