874903511040 has 896 divisors, whose sum is σ = 3162245087232. Its totient is φ = 205117194240.

The previous prime is 874903511039. The next prime is 874903511051. The reversal of 874903511040 is 40115309478.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 874903510983 and 874903511001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3228426105 + ... + 3228426375.

It is an arithmetic number, because the mean of its divisors is an integer number (3529291392).

Almost surely, 2^874903511040 is an apocalyptic number.

874903511040 is a gapful number since it is divisible by the number (80) 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 874903511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581122543616).

874903511040 is an abundant number, since it is smaller than the sum of its proper divisors (2287341576192).

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

874903511040 is a wasteful number, since it uses less digits than its factorization.

874903511040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 874903511040 in words is "eight hundred seventy-four billion, nine hundred three million, five hundred eleven thousand, forty".