41904552960 has 616 divisors, whose sum is σ = 153573145440. Its totient is φ = 10964533248.

The previous prime is 41904552959. The next prime is 41904552973. The reversal of 41904552960 is 6925540914.

41904552960 is a `hidden beast` number, since 4 + 1 + 9 + 0 + 4 + 552 + 96 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 384445386 + ... + 384445494.

Almost surely, 2^41904552960 is an apocalyptic number.

41904552960 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 41904552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76786572720).

41904552960 is an abundant number, since it is smaller than the sum of its proper divisors (111668592480).

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

41904552960 is a wasteful number, since it uses less digits than its factorization.

41904552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 41904552960 in words is "forty-one billion, nine hundred four million, five hundred fifty-two thousand, nine hundred sixty".