41090941440 has 640 divisors, whose sum is σ = 152858787840. Its totient is φ = 10450944000.

The previous prime is 41090941399. The next prime is 41090941469. The reversal of 41090941440 is 4414909014.

41090941440 is a `hidden beast` number, since 41 + 0 + 90 + 94 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 41090941395 and 41090941404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272125365 + ... + 272125515.

It is an arithmetic number, because the mean of its divisors is an integer number (238841856).

Almost surely, 2^41090941440 is an apocalyptic number.

41090941440 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 41090941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76429393920).

41090941440 is an abundant number, since it is smaller than the sum of its proper divisors (111767846400).

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

41090941440 is a wasteful number, since it uses less digits than its factorization.

41090941440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 41090941440 in words is "forty-one billion, ninety million, nine hundred forty-one thousand, four hundred forty".