42968133368400 has 120 divisors (see below), whose sum is σ = 144885530487520. Its totient is φ = 10855107371520.

The previous prime is 42968133368399. The next prime is 42968133368431. The reversal of 42968133368400 is 486333186924.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 942260827 + ... + 942306426.

Almost surely, 2^{42968133368400} is an apocalyptic number.

42968133368400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42968133368400 is an abundant number, since it is smaller than the sum of its proper divisors (101917397119120).

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

42968133368400 is a wasteful number, since it uses less digits than its factorization.

42968133368400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884567293 (or 1884567282 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 57.

The spelling of 42968133368400 in words is "forty-two trillion, nine hundred sixty-eight billion, one hundred thirty-three million, three hundred sixty-eight thousand, four hundred".