41997124624 has 135 divisors (see below), whose sum is σ = 102677788413. Its totient is φ = 16584736896.

The previous prime is 41997124607. The next prime is 41997124627. The reversal of 41997124624 is 42642179914.

The square root of 41997124624 is 204932.

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

It can be written as a sum of positive squares in only one way, i.e., 6212592400 + 35784532224 = 78820^2 + 189168^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41997124627) 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, 74594967 + ... + 74595529.

Almost surely, 2^41997124624 is an apocalyptic number.

41997124624 is the 204932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41997124624

41997124624 is an abundant number, since it is smaller than the sum of its proper divisors (60680663789).

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

41997124624 is an equidigital number, since it uses as much as digits as its factorization.

41997124624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 585 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

Multiplying 41997124624 by its sum of digits (49), we get a square (2057859106576 = 1434524²).

41997124624 divided by its sum of digits (49) gives a square (857084176 = 29276²).

The spelling of 41997124624 in words is "forty-one billion, nine hundred ninety-seven million, one hundred twenty-four thousand, six hundred twenty-four".