31431242344400 has 120 divisors (see below), whose sum is σ = 77025130742784. Its totient is φ = 12323216102400.

The previous prime is 31431242344399. The next prime is 31431242344409. The reversal of 31431242344400 is 444324213413.

It is a super-2 number, since 2×31431242344400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31431242344409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489140 + ... + 7943660.

Almost surely, 2^{31431242344400} 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 31431242344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38512565371392).

31431242344400 is an abundant number, since it is smaller than the sum of its proper divisors (45593888398384).

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

31431242344400 is a wasteful number, since it uses less digits than its factorization.

31431242344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7454749 (or 7454738 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 31431242344400 its reverse (444324213413), we get a palindrome (31875566557813).

The spelling of 31431242344400 in words is "thirty-one trillion, four hundred thirty-one billion, two hundred forty-two million, three hundred forty-four thousand, four hundred".