11312431412040 has 192 divisors, whose sum is σ = 41040449461440. Its totient is φ = 2678630653440.

The previous prime is 11312431412039. The next prime is 11312431412053. The reversal of 11312431412040 is 4021413421311.

It is a happy number.

11312431412040 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 243 + 1 + 412 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×11312431412040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11312431411995 and 11312431412013.

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, 33046867 + ... + 33387426.

It is an arithmetic number, because the mean of its divisors is an integer number (213752340945).

Almost surely, 2^{11312431412040} is an apocalyptic number.

11312431412040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11312431412040 is an abundant number, since it is smaller than the sum of its proper divisors (29728018049400).

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

11312431412040 is a wasteful number, since it uses less digits than its factorization.

11312431412040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66434364 (or 66434357 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11312431412040 its reverse (4021413421311), we get a palindrome (15333844833351).

The spelling of 11312431412040 in words is "eleven trillion, three hundred twelve billion, four hundred thirty-one million, four hundred twelve thousand, forty".