41576404635480 has 3072 divisors, whose sum is σ = 170503667712000. Its totient is φ = 8008906752000.

The previous prime is 41576404635463. The next prime is 41576404635553. The reversal of 41576404635480 is 8453640467514.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 41576404635480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 181556352006 + ... + 181556352234.

It is an arithmetic number, because the mean of its divisors is an integer number (55502496000).

Almost surely, 2^{41576404635480} is an apocalyptic number.

41576404635480 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 41576404635480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85251833856000).

41576404635480 is an abundant number, since it is smaller than the sum of its proper divisors (128927263076520).

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

41576404635480 is a wasteful number, since it uses less digits than its factorization.

41576404635480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 57.

The spelling of 41576404635480 in words is "forty-one trillion, five hundred seventy-six billion, four hundred four million, six hundred thirty-five thousand, four hundred eighty".