4491235758240 has 3456 divisors, whose sum is σ = 21897601689600. Its totient is φ = 843321507840.

The previous prime is 4491235758227. The next prime is 4491235758263. The reversal of 4491235758240 is 428575321944.

It is a happy number.

4491235758240 is a `hidden beast` number, since 4 + 4 + 9 + 1 + 2 + 3 + 57 + 582 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 25090702471 + ... + 25090702649.

It is an arithmetic number, because the mean of its divisors is an integer number (6336111600).

Almost surely, 2^{4491235758240} is an apocalyptic number.

4491235758240 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 4491235758240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10948800844800).

4491235758240 is an abundant number, since it is smaller than the sum of its proper divisors (17406365931360).

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

4491235758240 is a wasteful number, since it uses less digits than its factorization.

4491235758240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 4491235758240 in words is "four trillion, four hundred ninety-one billion, two hundred thirty-five million, seven hundred fifty-eight thousand, two hundred forty".