41883506784 has 384 divisors, whose sum is σ = 145332633600. Its totient is φ = 11482974720.

The previous prime is 41883506773. The next prime is 41883506807. The reversal of 41883506784 is 48760538814.

It is a super-4 number, since 4×41883506784⁴ (a number of 44 digits) contains 4444 as substring.

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 41883506784.

It is a congruent number.

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, 23810097 + ... + 23811855.

It is an arithmetic number, because the mean of its divisors is an integer number (378470400).

Almost surely, 2^41883506784 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 41883506784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72666316800).

41883506784 is an abundant number, since it is smaller than the sum of its proper divisors (103449126816).

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

41883506784 is a wasteful number, since it uses less digits than its factorization.

41883506784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 41883506784 in words is "forty-one billion, eight hundred eighty-three million, five hundred six thousand, seven hundred eighty-four".