7978852405440 has 252 divisors, whose sum is σ = 31924569583296. Its totient is φ = 1823737660416.

The previous prime is 7978852405417. The next prime is 7978852405441. The reversal of 7978852405440 is 445042588797.

It is a happy number.

7978852405440 is a `hidden beast` number, since 7 + 9 + 7 + 8 + 85 + 2 + 4 + 0 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is not an unprimeable number, because it can be changed into a prime (7978852405441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28128624 + ... + 28410863.

Almost surely, 2^{7978852405440} is an apocalyptic number.

7978852405440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7978852405440 is an abundant number, since it is smaller than the sum of its proper divisors (23945717177856).

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

7978852405440 is a wasteful number, since it uses less digits than its factorization.

7978852405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56539524 (or 56539504 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 7978852405440 in words is "seven trillion, nine hundred seventy-eight billion, eight hundred fifty-two million, four hundred five thousand, four hundred forty".