31325142442400 has 288 divisors, whose sum is σ = 79511598432000. Its totient is φ = 12036587171840.

The previous prime is 31325142442361. The next prime is 31325142442453. The reversal of 31325142442400 is 424424152313.

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, 9243179906 + ... + 9243183294.

It is an arithmetic number, because the mean of its divisors is an integer number (276081939000).

Almost surely, 2^{31325142442400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31325142442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39755799216000).

31325142442400 is an abundant number, since it is smaller than the sum of its proper divisors (48186455989600).

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

31325142442400 is a wasteful number, since it uses less digits than its factorization.

31325142442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5344 (or 5331 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 31325142442400 its reverse (424424152313), we get a palindrome (31749566594713).

The spelling of 31325142442400 in words is "thirty-one trillion, three hundred twenty-five billion, one hundred forty-two million, four hundred forty-two thousand, four hundred".