142001112440400 has 120 divisors (see below), whose sum is σ = 454886548492800. Its totient is φ = 37866159851520.

The previous prime is 142001112440389. The next prime is 142001112440423. The reversal of 142001112440400 is 4044211100241.

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

It is a super-2 number, since 2×142001112440400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 56427409 + ... + 58890191.

It is an arithmetic number, because the mean of its divisors is an integer number (3790721237440).

Almost surely, 2^{142001112440400} is an apocalyptic number.

142001112440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142001112440400 is an abundant number, since it is smaller than the sum of its proper divisors (312885436052400).

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

142001112440400 is a wasteful number, since it uses less digits than its factorization.

142001112440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510853 (or 2510842 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 142001112440400 its reverse (4044211100241), we get a palindrome (146045323540641).

The spelling of 142001112440400 in words is "one hundred forty-two trillion, one billion, one hundred twelve million, four hundred forty thousand, four hundred".