8131043773440 has 1056 divisors, whose sum is σ = 32908874219520. Its totient is φ = 1817962610688.

The previous prime is 8131043773427. The next prime is 8131043773549. The reversal of 8131043773440 is 443773401318.

It is a happy number.

8131043773440 is a `hidden beast` number, since 8 + 1 + 3 + 104 + 37 + 73 + 440 = 666.

It is a super-2 number, since 2×8131043773440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2990452401 + ... + 2990455119.

Almost surely, 2^{8131043773440} is an apocalyptic number.

8131043773440 is a gapful number since it is divisible by the number (80) 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 8131043773440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16454437109760).

8131043773440 is an abundant number, since it is smaller than the sum of its proper divisors (24777830446080).

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

8131043773440 is a wasteful number, since it uses less digits than its factorization.

8131043773440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 8131043773440 in words is "eight trillion, one hundred thirty-one billion, forty-three million, seven hundred seventy-three thousand, four hundred forty".