142093180454400 has 2880 divisors, whose sum is σ = 638214697359360. Its totient is φ = 30831678259200.

The previous prime is 142093180454359. The next prime is 142093180454419. The reversal of 142093180454400 is 4454081390241.

142093180454400 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 93 + 1 + 80 + 45 + 440 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27823216647 + ... + 27823221753.

It is an arithmetic number, because the mean of its divisors is an integer number (221602325472).

Almost surely, 2^{142093180454400} is an apocalyptic number.

142093180454400 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 142093180454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319107348679680).

142093180454400 is an abundant number, since it is smaller than the sum of its proper divisors (496121516904960).

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

142093180454400 is a wasteful number, since it uses less digits than its factorization.

142093180454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5242 (or 5208 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 142093180454400 in words is "one hundred forty-two trillion, ninety-three billion, one hundred eighty million, four hundred fifty-four thousand, four hundred".