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421042739040 = 2533572111931307
BaseRepresentation
bin1100010000010000001…
…10100101011101100000
31111020210012012021022000
412020020012211131200
523344243420122130
6521231355044000
742263555142300
oct6101006453540
91436705167260
10421042739040
11152621716720
1269726440600
1330920068611
1416542b5d600
15ae43e89260
hex62081a5760

421042739040 has 2304 divisors, whose sum is σ = 2038630809600. Its totient is φ = 79949721600.

The previous prime is 421042739011. The next prime is 421042739041. The reversal of 421042739040 is 40937240124.

421042739040 is a `hidden beast` number, since 421 + 0 + 42 + 73 + 90 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 421042738986 and 421042739004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421042739041) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1371474567 + ... + 1371474873.

It is an arithmetic number, because the mean of its divisors is an integer number (884822400).

Almost surely, 2421042739040 is an apocalyptic number.

421042739040 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 421042739040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019315404800).

421042739040 is an abundant number, since it is smaller than the sum of its proper divisors (1617588070560).

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

421042739040 is a wasteful number, since it uses less digits than its factorization.

421042739040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 421042739040 its reverse (40937240124), we get a palindrome (461979979164).

The spelling of 421042739040 in words is "four hundred twenty-one billion, forty-two million, seven hundred thirty-nine thousand, forty".