41232576090384 has 240 divisors, whose sum is σ = 136785435171840. Its totient is φ = 11778820260480.

The previous prime is 41232576090331. The next prime is 41232576090403. The reversal of 41232576090384 is 48309067523214.

41232576090384 is a `hidden beast` number, since 4 + 1 + 2 + 3 + 25 + 7 + 609 + 0 + 3 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 41232576090384.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171640147 + ... + 171880205.

It is an arithmetic number, because the mean of its divisors is an integer number (569939313216).

It is a 1-persistent number, because it is pandigital, but 2⋅41232576090384 = 82465152180768 is not.

Almost surely, 2^{41232576090384} 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 41232576090384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68392717585920).

41232576090384 is an abundant number, since it is smaller than the sum of its proper divisors (95552859081456).

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

41232576090384 is a wasteful number, since it uses less digits than its factorization.

41232576090384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246400 (or 246382 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 41232576090384 in words is "forty-one trillion, two hundred thirty-two billion, five hundred seventy-six million, ninety thousand, three hundred eighty-four".