31201412040 has 192 divisors, whose sum is σ = 105345068400. Its totient is φ = 7999488000.

The previous prime is 31201412029. The next prime is 31201412051. The reversal of 31201412040 is 4021410213.

It is an interprime number because it is at equal distance from previous prime (31201412029) and next prime (31201412051).

It can be written as a sum of positive squares in 8 ways, for example, as 15925935204 + 15275476836 = 126198^2 + 123594^2 .

It is a super-2 number, since 2×31201412040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2509840 + ... + 2522240.

Almost surely, 2^31201412040 is an apocalyptic number.

31201412040 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 31201412040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52672534200).

31201412040 is an abundant number, since it is smaller than the sum of its proper divisors (74143656360).

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

31201412040 is a wasteful number, since it uses less digits than its factorization.

31201412040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12688 (or 12681 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 31201412040 its reverse (4021410213), we get a palindrome (35222822253).

The spelling of 31201412040 in words is "thirty-one billion, two hundred one million, four hundred twelve thousand, forty".