874781389440 has 1280 divisors, whose sum is σ = 3813263308800. Its totient is φ = 186653859840.

The previous prime is 874781389439. The next prime is 874781389453. The reversal of 874781389440 is 44983187478.

874781389440 is a `hidden beast` number, since 8 + 7 + 478 + 1 + 38 + 94 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 489524227 + ... + 489526013.

It is an arithmetic number, because the mean of its divisors is an integer number (2979111960).

Almost surely, 2^874781389440 is an apocalyptic number.

874781389440 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 874781389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906631654400).

874781389440 is an abundant number, since it is smaller than the sum of its proper divisors (2938481919360).

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

874781389440 is a wasteful number, since it uses less digits than its factorization.

874781389440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 874781389440 in words is "eight hundred seventy-four billion, seven hundred eighty-one million, three hundred eighty-nine thousand, four hundred forty".