41446451304 has 288 divisors, whose sum is σ = 122239484640. Its totient is φ = 13154400000.

The previous prime is 41446451273. The next prime is 41446451309. The reversal of 41446451304 is 40315464414.

41446451304 is a `hidden beast` number, since 4 + 1 + 4 + 4 + 645 + 1 + 3 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41446451309) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 165125179 + ... + 165125429.

It is an arithmetic number, because the mean of its divisors is an integer number (424442655).

Almost surely, 2^41446451304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41446451304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61119742320).

41446451304 is an abundant number, since it is smaller than the sum of its proper divisors (80793033336).

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

41446451304 is a wasteful number, since it uses less digits than its factorization.

41446451304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 41446451304 in words is "forty-one billion, four hundred forty-six million, four hundred fifty-one thousand, three hundred four".