874261945440 has 576 divisors, whose sum is σ = 3371061238272. Its totient is φ = 204838502400.

The previous prime is 874261945429. The next prime is 874261945463. The reversal of 874261945440 is 44549162478.

874261945440 is a `hidden beast` number, since 8 + 7 + 4 + 2 + 6 + 1 + 94 + 544 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 35387172 + ... + 35411868.

It is an arithmetic number, because the mean of its divisors is an integer number (5852536872).

Almost surely, 2^874261945440 is an apocalyptic number.

874261945440 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 874261945440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685530619136).

874261945440 is an abundant number, since it is smaller than the sum of its proper divisors (2496799292832).

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

874261945440 is a wasteful number, since it uses less digits than its factorization.

874261945440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24823 (or 24812 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 874261945440 in words is "eight hundred seventy-four billion, two hundred sixty-one million, nine hundred forty-five thousand, four hundred forty".