42878514406400 has 132 divisors (see below), whose sum is σ = 106312193792820. Its totient is φ = 17147306803200.

The previous prime is 42878514406363. The next prime is 42878514406447. The reversal of 42878514406400 is 460441587824.

It can be written as a sum of positive squares in 6 ways, for example, as 2776995610624 + 40101518795776 = 1666432^2 + 6332576^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108064370 + ... + 108460430.

Almost surely, 2^{42878514406400} is an apocalyptic number.

42878514406400 is a gapful number since it is divisible by the number (40) 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 42878514406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53156096896410).

42878514406400 is an abundant number, since it is smaller than the sum of its proper divisors (63433679386420).

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

42878514406400 is a wasteful number, since it uses less digits than its factorization.

42878514406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400320 (or 400297 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 53.

The spelling of 42878514406400 in words is "forty-two trillion, eight hundred seventy-eight billion, five hundred fourteen million, four hundred six thousand, four hundred".