10214899484400 has 360 divisors, whose sum is σ = 38343562573680. Its totient is φ = 2503357378560.

The previous prime is 10214899484359. The next prime is 10214899484429. The reversal of 10214899484400 is 448499841201.

10214899484400 is a `hidden beast` number, since 1 + 0 + 2 + 148 + 9 + 94 + 8 + 4 + 400 = 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, 10142836 + ... + 11104364.

It is an arithmetic number, because the mean of its divisors is an integer number (106509896038).

Almost surely, 2^{10214899484400} is an apocalyptic number.

10214899484400 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 10214899484400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19171781286840).

10214899484400 is an abundant number, since it is smaller than the sum of its proper divisors (28128663089280).

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

10214899484400 is a wasteful number, since it uses less digits than its factorization.

10214899484400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961793 (or 961779 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 10214899484400 in words is "ten trillion, two hundred fourteen billion, eight hundred ninety-nine million, four hundred eighty-four thousand, four hundred".