2312142140400 has 240 divisors, whose sum is σ = 8254993075200. Its totient is φ = 549760020480.

The previous prime is 2312142140387. The next prime is 2312142140411. The reversal of 2312142140400 is 40412412132.

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

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 47 ways as a sum of consecutive naturals, for example, 2595040 + ... + 3370239.

It is an arithmetic number, because the mean of its divisors is an integer number (34395804480).

Almost surely, 2^{2312142140400} is an apocalyptic number.

2312142140400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2312142140400 is an abundant number, since it is smaller than the sum of its proper divisors (5942850934800).

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

2312142140400 is a wasteful number, since it uses less digits than its factorization.

2312142140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5965336 (or 5965325 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2312142140400 its reverse (40412412132), we get a palindrome (2352554552532).

It can be divided in two parts, 2312142 and 140400, that added together give a palindrome (2452542).

The spelling of 2312142140400 in words is "two trillion, three hundred twelve billion, one hundred forty-two million, one hundred forty thousand, four hundred".