41664974400 has 819 divisors, whose sum is σ = 178890102849. Its totient is φ = 9523422720.

The previous prime is 41664974383. The next prime is 41664974431. The reversal of 41664974400 is 447946614.

The square root of 41664974400 is 204120.

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

41664974400 is a `hidden beast` number, since 4 + 166 + 49 + 7 + 440 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14999390784 + 26665583616 = 122472^2 + 163296^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 5952139197 + ... + 5952139203.

Almost surely, 2^41664974400 is an apocalyptic number.

41664974400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

41664974400 is the 204120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41664974400

41664974400 is an abundant number, since it is smaller than the sum of its proper divisors (137225128449).

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

41664974400 is an frugal number, since it uses more digits than its factorization.

41664974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

It can be divided in two parts, 41664 and 974400, that added together give a square (1016064 = 1008²).

The spelling of 41664974400 in words is "forty-one billion, six hundred sixty-four million, nine hundred seventy-four thousand, four hundred".