1931112910440 has 576 divisors, whose sum is σ = 7630597774800. Its totient is φ = 421772230656.

The previous prime is 1931112910439. The next prime is 1931112910453. The reversal of 1931112910440 is 440192111391.

1931112910440 is a `hidden beast` number, since 1 + 93 + 1 + 1 + 129 + 1 + 0 + 440 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 408144655044 + 1522968255396 = 638862^2 + 1234086^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1931112910395 and 1931112910404.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49601862 + ... + 49640778.

Almost surely, 2^{1931112910440} is an apocalyptic number.

1931112910440 is a gapful number since it is divisible by the number (10) 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 1931112910440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3815298887400).

1931112910440 is an abundant number, since it is smaller than the sum of its proper divisors (5699484864360).

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

1931112910440 is a wasteful number, since it uses less digits than its factorization.

1931112910440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39074 (or 39060 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 1931112910440 in words is "one trillion, nine hundred thirty-one billion, one hundred twelve million, nine hundred ten thousand, four hundred forty".