142093670400 has 1296 divisors, whose sum is σ = 595805694120. Its totient is φ = 32086425600.

The previous prime is 142093670393. The next prime is 142093670419. The reversal of 142093670400 is 4076390241.

142093670400 is a `hidden beast` number, since 14 + 209 + 36 + 7 + 0 + 400 = 666.

142093670400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×142093670400² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1464883152 + ... + 1464883248.

Almost surely, 2^142093670400 is an apocalyptic number.

142093670400 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 142093670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297902847060).

142093670400 is an abundant number, since it is smaller than the sum of its proper divisors (453712023720).

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

142093670400 is a wasteful number, since it uses less digits than its factorization.

142093670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 142093670400 in words is "one hundred forty-two billion, ninety-three million, six hundred seventy thousand, four hundred".