41977453456 has 135 divisors (see below), whose sum is σ = 91011346993. Its totient is φ = 18750983680.

The previous prime is 41977453417. The next prime is 41977453471. The reversal of 41977453456 is 65435477914.

The square root of 41977453456 is 204884.

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., 32681408400 + 9296045056 = 180780^2 + 96416^2 .

It is a Duffinian number.

Its product of digits (12700800) is a multiple of the sum of its prime factors (350).

It is a junction number, because it is equal to n+sod(n) for n = 41977453397 and 41977453406.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 320438511 + ... + 320438641.

Almost surely, 2^41977453456 is an apocalyptic number.

41977453456 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

41977453456 is the 204884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41977453456

41977453456 is an abundant number, since it is smaller than the sum of its proper divisors (49033893537).

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

41977453456 is a wasteful number, since it uses less digits than its factorization.

41977453456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 173 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 55.

The spelling of 41977453456 in words is "forty-one billion, nine hundred seventy-seven million, four hundred fifty-three thousand, four hundred fifty-six".