31231600142400 has 840 divisors, whose sum is σ = 132552380438016. Its totient is φ = 7065037209600.

The previous prime is 31231600142399. The next prime is 31231600142411. The reversal of 31231600142400 is 424100613213.

It is a happy number.

31231600142400 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 1 + 600 + 14 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 87820945 + ... + 88175855.

Almost surely, 2^{31231600142400} is an apocalyptic number.

31231600142400 is a gapful number since it is divisible by the number (30) 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 31231600142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66276190219008).

31231600142400 is an abundant number, since it is smaller than the sum of its proper divisors (101320780295616).

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

31231600142400 is a wasteful number, since it uses less digits than its factorization.

31231600142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355049 (or 355025 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 31231600142400 its reverse (424100613213), we get a palindrome (31655700755613).

The spelling of 31231600142400 in words is "thirty-one trillion, two hundred thirty-one billion, six hundred million, one hundred forty-two thousand, four hundred".