874116023040 has 1512 divisors, whose sum is σ = 3561803939232. Its totient is φ = 204957941760.

The previous prime is 874116022993. The next prime is 874116023057. The reversal of 874116023040 is 40320611478.

874116023040 is a `hidden beast` number, since 8 + 7 + 4 + 1 + 1 + 602 + 3 + 0 + 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 = 874116022986 and 874116023004.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3627037320 + ... + 3627037560.

It is an arithmetic number, because the mean of its divisors is an integer number (2355690436).

Almost surely, 2^874116023040 is an apocalyptic number.

874116023040 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 874116023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780901969616).

874116023040 is an abundant number, since it is smaller than the sum of its proper divisors (2687687916192).

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

874116023040 is a wasteful number, since it uses less digits than its factorization.

874116023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 874116023040 in words is "eight hundred seventy-four billion, one hundred sixteen million, twenty-three thousand, forty".