40032193973760 has 400 divisors, whose sum is σ = 147257905265856. Its totient is φ = 10386729418752.

The previous prime is 40032193973627. The next prime is 40032193973767. The reversal of 40032193973760 is 6737939123004.

40032193973760 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 219 + 397 + 37 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 40032193973697 and 40032193973706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40032193973767) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5063449 + ... + 10281191.

Almost surely, 2^{40032193973760} is an apocalyptic number.

40032193973760 is a gapful number since it is divisible by the number (40) 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 40032193973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73628952632928).

40032193973760 is an abundant number, since it is smaller than the sum of its proper divisors (107225711292096).

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

40032193973760 is an equidigital number, since it uses as much as digits as its factorization.

40032193973760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5217815 (or 5217790 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 40032193973760 in words is "forty trillion, thirty-two billion, one hundred ninety-three million, nine hundred seventy-three thousand, seven hundred sixty".