31401331440 has 160 divisors (see below), whose sum is σ = 101793770496. Its totient is φ = 7992483840.

The previous prime is 31401331427. The next prime is 31401331469. The reversal of 31401331440 is 4413310413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31401331440.

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 31 ways as a sum of consecutive naturals, for example, 2682400 + ... + 2694080.

Almost surely, 2^31401331440 is an apocalyptic number.

31401331440 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 31401331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50896885248).

31401331440 is an abundant number, since it is smaller than the sum of its proper divisors (70392439056).

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

31401331440 is a wasteful number, since it uses less digits than its factorization.

31401331440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12207 (or 12201 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31401331440 its reverse (4413310413), we get a palindrome (35814641853).

The spelling of 31401331440 in words is "thirty-one billion, four hundred one million, three hundred thirty-one thousand, four hundred forty".