41765020416000 has 1152 divisors, whose sum is σ = 178419707182080. Its totient is φ = 9546190848000.

The previous prime is 41765020415983. The next prime is 41765020416043. The reversal of 41765020416000 is 61402056714.

41765020416000 is a `hidden beast` number, since 4 + 1 + 7 + 6 + 5 + 0 + 2 + 0 + 41 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 435408045 + ... + 435503955.

It is an arithmetic number, because the mean of its divisors is an integer number (154878218040).

Almost surely, 2^{41765020416000} is an apocalyptic number.

41765020416000 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 41765020416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89209853591040).

41765020416000 is an abundant number, since it is smaller than the sum of its proper divisors (136654686766080).

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

41765020416000 is an frugal number, since it uses more digits than its factorization.

41765020416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95970 (or 95928 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 41765020416000 in words is "forty-one trillion, seven hundred sixty-five billion, twenty million, four hundred sixteen thousand".