31401144432 has 240 divisors, whose sum is σ = 102856845312. Its totient is φ = 8756398080.

The previous prime is 31401144391. The next prime is 31401144443. The reversal of 31401144432 is 23444110413.

It is a junction number, because it is equal to n+sod(n) for n = 31401144396 and 31401144405.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 23071432 + ... + 23072792.

Almost surely, 2^31401144432 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 31401144432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51428422656).

31401144432 is an abundant number, since it is smaller than the sum of its proper divisors (71455700880).

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

31401144432 is a wasteful number, since it uses less digits than its factorization.

31401144432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 31401144432 its reverse (23444110413), we get a palindrome (54845254845).

The spelling of 31401144432 in words is "thirty-one billion, four hundred one million, one hundred forty-four thousand, four hundred thirty-two".