2142953366400 has 2880 divisors, whose sum is σ = 10209780282240. Its totient is φ = 433017446400.

The previous prime is 2142953366399. The next prime is 2142953366423. The reversal of 2142953366400 is 46633592412.

2142953366400 is a `hidden beast` number, since 2 + 14 + 2 + 9 + 533 + 66 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 359 ways as a sum of consecutive naturals, for example, 9440323087 + ... + 9440323313.

It is an arithmetic number, because the mean of its divisors is an integer number (3545062598).

Almost surely, 2^{2142953366400} is an apocalyptic number.

2142953366400 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 2142953366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5104890141120).

2142953366400 is an abundant number, since it is smaller than the sum of its proper divisors (8066826915840).

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

2142953366400 is a wasteful number, since it uses less digits than its factorization.

2142953366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 2142953366400 in words is "two trillion, one hundred forty-two billion, nine hundred fifty-three million, three hundred sixty-six thousand, four hundred".