874117440000 has 1600 divisors, whose sum is σ = 3758321952000. Its totient is φ = 196411392000.

The previous prime is 874117439999. The next prime is 874117440023. The reversal of 874117440000 is 44711478.

874117440000 is a `hidden beast` number, since 87 + 4 + 1 + 174 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5866559926 + ... + 5866560074.

It is an arithmetic number, because the mean of its divisors is an integer number (2348951220).

Almost surely, 2^874117440000 is an apocalyptic number.

874117440000 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 874117440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879160976000).

874117440000 is an abundant number, since it is smaller than the sum of its proper divisors (2884204512000).

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

874117440000 is an equidigital number, since it uses as much as digits as its factorization.

874117440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 874117440000 in words is "eight hundred seventy-four billion, one hundred seventeen million, four hundred forty thousand".