41640483600 has 405 divisors, whose sum is σ = 153366579093. Its totient is φ = 10460931840.

The previous prime is 41640483541. The next prime is 41640483641. The reversal of 41640483600 is 638404614.

The square root of 41640483600 is 204060.

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

41640483600 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 0 + 48 + 3 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14990574096 + 26649909504 = 122436^2 + 163248^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 232628311 + ... + 232628489.

Almost surely, 2^41640483600 is an apocalyptic number.

41640483600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

41640483600 is the 204060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41640483600

41640483600 is an abundant number, since it is smaller than the sum of its proper divisors (111726095493).

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

41640483600 is a wasteful number, since it uses less digits than its factorization.

41640483600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Multiplying 41640483600 by its sum of digits (36), we get a square (1499057409600 = 1224360²).

41640483600 divided by its sum of digits (36) gives a square (1156680100 = 34010²).

The spelling of 41640483600 in words is "forty-one billion, six hundred forty million, four hundred eighty-three thousand, six hundred".