40193875538496 has 189 divisors, whose sum is σ = 119331283700811. Its totient is φ = 12934539813888.

The previous prime is 40193875538491. The next prime is 40193875538569. The reversal of 40193875538496 is 69483557839104.

The square root of 40193875538496 is 6339864.

It is a perfect power (a square), and thus also a powerful number.

40193875538496 is a `hidden beast` number, since 4 + 0 + 1 + 9 + 3 + 87 + 5 + 53 + 8 + 496 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6639197368896 + 33554678169600 = 2576664^2 + 5792640^2 .

It is a super-2 number, since 2×40193875538496² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (40193875538491) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4412540790 + ... + 4412549898.

Almost surely, 2^{40193875538496} is an apocalyptic number.

40193875538496 is the 6339864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40193875538496

40193875538496 is an abundant number, since it is smaller than the sum of its proper divisors (79137408162315).

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

40193875538496 is an frugal number, since it uses more digits than its factorization.

40193875538496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18294 (or 9143 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 40193875538496 in words is "forty trillion, one hundred ninety-three billion, eight hundred seventy-five million, five hundred thirty-eight thousand, four hundred ninety-six".