41673344400 has 480 divisors, whose sum is σ = 157741153920. Its totient is φ = 10413342720.

The previous prime is 41673344369. The next prime is 41673344413. The reversal of 41673344400 is 444337614.

41673344400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41673344400² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64810479 + ... + 64811121.

It is an arithmetic number, because the mean of its divisors is an integer number (328627404).

Almost surely, 2^41673344400 is an apocalyptic number.

41673344400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41673344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78870576960).

41673344400 is an abundant number, since it is smaller than the sum of its proper divisors (116067809520).

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

41673344400 is a wasteful number, since it uses less digits than its factorization.

41673344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 41673344400 in words is "forty-one billion, six hundred seventy-three million, three hundred forty-four thousand, four hundred".