4901043011040 has 1152 divisors, whose sum is σ = 20456386030080. Its totient is φ = 1095109632000.

The previous prime is 4901043011009. The next prime is 4901043011047. The reversal of 4901043011040 is 401103401094.

4901043011040 is a `hidden beast` number, since 490 + 104 + 30 + 1 + 1 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4901043010995 and 4901043011013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4901043011047) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 300650890 + ... + 300667190.

It is an arithmetic number, because the mean of its divisors is an integer number (17757279540).

Almost surely, 2^{4901043011040} is an apocalyptic number.

4901043011040 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 4901043011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10228193015040).

4901043011040 is an abundant number, since it is smaller than the sum of its proper divisors (15555343019040).

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

4901043011040 is a wasteful number, since it uses less digits than its factorization.

4901043011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16398 (or 16378 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 4901043011040 in words is "four trillion, nine hundred one billion, forty-three million, eleven thousand, forty".