40083482105856 has 480 divisors, whose sum is σ = 136876727988000. Its totient is φ = 11448522768384.

The previous prime is 40083482105837. The next prime is 40083482105867. The reversal of 40083482105856 is 65850128438004.

40083482105856 is a `hidden beast` number, since 4 + 0 + 0 + 8 + 3 + 48 + 2 + 10 + 585 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6582930460 + ... + 6582936548.

It is an arithmetic number, because the mean of its divisors is an integer number (285159849975).

Almost surely, 2^{40083482105856} 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 40083482105856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68438363994000).

40083482105856 is an abundant number, since it is smaller than the sum of its proper divisors (96793245882144).

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

40083482105856 is an equidigital number, since it uses as much as digits as its factorization.

40083482105856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11799 (or 11770 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 40083482105856 in words is "forty trillion, eighty-three billion, four hundred eighty-two million, one hundred five thousand, eight hundred fifty-six".