41954411520 has 792 divisors, whose sum is σ = 179216143704. Its totient is φ = 9017229312.

The previous prime is 41954411501. The next prime is 41954411567. The reversal of 41954411520 is 2511445914.

41954411520 is a `hidden beast` number, since 4 + 1 + 95 + 4 + 41 + 1 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21658420224 + 20295991296 = 147168^2 + 142464^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38384094 + ... + 38385186.

Almost surely, 2^41954411520 is an apocalyptic number.

41954411520 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 41954411520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89608071852).

41954411520 is an abundant number, since it is smaller than the sum of its proper divisors (137261732184).

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

41954411520 is a wasteful number, since it uses less digits than its factorization.

41954411520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 41954411520 in words is "forty-one billion, nine hundred fifty-four million, four hundred eleven thousand, five hundred twenty".