14990202410400 has 1296 divisors, whose sum is σ = 64570604716800. Its totient is φ = 3204602818560.

The previous prime is 14990202410389. The next prime is 14990202410429. The reversal of 14990202410400 is 401420209941.

14990202410400 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 0 + 2 + 0 + 241 + 0 + 400 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1437352386 + ... + 1437362814.

Almost surely, 2^{14990202410400} is an apocalyptic number.

14990202410400 is a gapful number since it is divisible by the number (10) 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 14990202410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32285302358400).

14990202410400 is an abundant number, since it is smaller than the sum of its proper divisors (49580402306400).

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

14990202410400 is a wasteful number, since it uses less digits than its factorization.

14990202410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10579 (or 10544 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 14990202410400 in words is "fourteen trillion, nine hundred ninety billion, two hundred two million, four hundred ten thousand, four hundred".