874834057440 has 864 divisors, whose sum is σ = 3685275449856. Its totient is φ = 184999127040.

The previous prime is 874834057337. The next prime is 874834057469. The reversal of 874834057440 is 44750438478.

874834057440 is a `hidden beast` number, since 8 + 74 + 83 + 4 + 0 + 57 + 440 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 156469045 + ... + 156474635.

It is an arithmetic number, because the mean of its divisors is an integer number (4265365104).

Almost surely, 2^874834057440 is an apocalyptic number.

874834057440 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 874834057440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842637724928).

874834057440 is an abundant number, since it is smaller than the sum of its proper divisors (2810441392416).

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

874834057440 is a wasteful number, since it uses less digits than its factorization.

874834057440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5700 (or 5670 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 874834057440 in words is "eight hundred seventy-four billion, eight hundred thirty-four million, fifty-seven thousand, four hundred forty".