13890878442000 has 240 divisors, whose sum is σ = 55447095480192. Its totient is φ = 3175057900800.

The previous prime is 13890878441941. The next prime is 13890878442017. The reversal of 13890878442000 is 24487809831.

It is a happy number.

13890878442000 is a `hidden beast` number, since 1 + 38 + 90 + 87 + 8 + 442 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 54996534 + ... + 55248533.

Almost surely, 2^{13890878442000} is an apocalyptic number.

13890878442000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13890878442000 is an abundant number, since it is smaller than the sum of its proper divisors (41556217038192).

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

13890878442000 is a wasteful number, since it uses less digits than its factorization.

13890878442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110245103 (or 110245084 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 13890878442000 in words is "thirteen trillion, eight hundred ninety billion, eight hundred seventy-eight million, four hundred forty-two thousand".