10047466022400 has 2160 divisors, whose sum is σ = 40539406811904. Its totient is φ = 2459641282560.

The previous prime is 10047466022389. The next prime is 10047466022431. The reversal of 10047466022400 is 422066474001.

10047466022400 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 7 + 4 + 6 + 602 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 60164467117 + ... + 60164467283.

Almost surely, 2^{10047466022400} is an apocalyptic number.

10047466022400 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 10047466022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20269703405952).

10047466022400 is an abundant number, since it is smaller than the sum of its proper divisors (30491940789504).

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

10047466022400 is an equidigital number, since it uses as much as digits as its factorization.

10047466022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 10047466022400 in words is "ten trillion, forty-seven billion, four hundred sixty-six million, twenty-two thousand, four hundred".