10214211560400 has 360 divisors, whose sum is σ = 36999355151616. Its totient is φ = 2604514176000.

The previous prime is 10214211560393. The next prime is 10214211560447. The reversal of 10214211560400 is 406511241201.

10214211560400 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 42 + 1 + 15 + 604 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 276781950 + ... + 276818850.

Almost surely, 2^{10214211560400} is an apocalyptic number.

10214211560400 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 10214211560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18499677575808).

10214211560400 is an abundant number, since it is smaller than the sum of its proper divisors (26785143591216).

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

10214211560400 is a wasteful number, since it uses less digits than its factorization.

10214211560400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40291 (or 40277 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10214211560400 in words is "ten trillion, two hundred fourteen billion, two hundred eleven million, five hundred sixty thousand, four hundred".