142312102400 has 120 divisors (see below), whose sum is σ = 379712053644. Its totient is φ = 52545945600.

The previous prime is 142312102393. The next prime is 142312102421. The reversal of 142312102400 is 4201213241.

It can be written as a sum of positive squares in 6 ways, for example, as 49184594176 + 93127508224 = 221776^2 + 305168^2 .

It is a super-4 number, since 4×142312102400⁴ (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261221 + ... + 594020.

Almost surely, 2^142312102400 is an apocalyptic number.

142312102400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142312102400 is an abundant number, since it is smaller than the sum of its proper divisors (237399951244).

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

142312102400 is an equidigital number, since it uses as much as digits as its factorization.

142312102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855282 (or 855261 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 142312102400 its reverse (4201213241), we get a palindrome (146513315641).

The spelling of 142312102400 in words is "one hundred forty-two billion, three hundred twelve million, one hundred two thousand, four hundred".