41265463392400 has 405 divisors, whose sum is σ = 111067148347713. Its totient is φ = 14726478873600.

The previous prime is 41265463392397. The next prime is 41265463392421. The reversal of 41265463392400 is 429336456214.

The square root of 41265463392400 is 6423820.

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

It can be written as a sum of positive squares in 13 ways, for example, as 38975398608784 + 2290064783616 = 6243028^2 + 1513296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 51775988802 + ... + 51775989598.

Almost surely, 2^{41265463392400} is an apocalyptic number.

41265463392400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

41265463392400 is the 6423820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41265463392400

41265463392400 is an abundant number, since it is smaller than the sum of its proper divisors (69801684955313).

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

41265463392400 is an equidigital number, since it uses as much as digits as its factorization.

41265463392400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 49.

The spelling of 41265463392400 in words is "forty-one trillion, two hundred sixty-five billion, four hundred sixty-three million, three hundred ninety-two thousand, four hundred".