2056143398400 has 4800 divisors, whose sum is σ = 10452117688320. Its totient is φ = 386983526400.

The previous prime is 2056143398371. The next prime is 2056143398417. The reversal of 2056143398400 is 48933416502.

2056143398400 is a `hidden beast` number, since 2 + 0 + 561 + 4 + 3 + 3 + 9 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a super-2 number, since 2×2056143398400² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 55571443182 + ... + 55571443218.

Almost surely, 2^{2056143398400} is an apocalyptic number.

2056143398400 is a gapful number since it is divisible by the number (20) 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 2056143398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5226058844160).

2056143398400 is an abundant number, since it is smaller than the sum of its proper divisors (8395974289920).

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

2056143398400 is a wasteful number, since it uses less digits than its factorization.

2056143398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2056143398400 in words is "two trillion, fifty-six billion, one hundred forty-three million, three hundred ninety-eight thousand, four hundred".