7874214422400 has 384 divisors, whose sum is σ = 30070377158400. Its totient is φ = 2008494766080.

The previous prime is 7874214422369. The next prime is 7874214422461. The reversal of 7874214422400 is 42244124787.

It is a happy number.

7874214422400 is a `hidden beast` number, since 7 + 8 + 7 + 4 + 214 + 4 + 22 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5967 + ... + 3968433.

It is an arithmetic number, because the mean of its divisors is an integer number (78308273850).

Almost surely, 2^{7874214422400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7874214422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15035188579200).

7874214422400 is an abundant number, since it is smaller than the sum of its proper divisors (22196162736000).

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

7874214422400 is a wasteful number, since it uses less digits than its factorization.

7874214422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3962523 (or 3962500 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 45.

The spelling of 7874214422400 in words is "seven trillion, eight hundred seventy-four billion, two hundred fourteen million, four hundred twenty-two thousand, four hundred".