42140312400 has 240 divisors, whose sum is σ = 136391270400. Its totient is φ = 11121415680.

The previous prime is 42140312399. The next prime is 42140312411. The reversal of 42140312400 is 421304124.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87975361 + ... + 87975839.

It is an arithmetic number, because the mean of its divisors is an integer number (568296960).

Almost surely, 2^42140312400 is an apocalyptic number.

42140312400 is a gapful number since it is divisible by the number (40) 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 42140312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68195635200).

42140312400 is an abundant number, since it is smaller than the sum of its proper divisors (94250958000).

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

42140312400 is a wasteful number, since it uses less digits than its factorization.

42140312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 42140312400 its reverse (421304124), we get a palindrome (42561616524).

The spelling of 42140312400 in words is "forty-two billion, one hundred forty million, three hundred twelve thousand, four hundred".