40416380839530 has 384 divisors, whose sum is σ = 112361042626560. Its totient is φ = 10062074880000.

The previous prime is 40416380839529. The next prime is 40416380839553. The reversal of 40416380839530 is 3593808361404.

40416380839530 is a `hidden beast` number, since 4 + 0 + 41 + 6 + 38 + 0 + 8 + 39 + 530 = 666.

It is a super-2 number, since 2×40416380839530² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11772902694 + ... + 11772906126.

It is an arithmetic number, because the mean of its divisors is an integer number (292606881840).

Almost surely, 2^{40416380839530} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40416380839530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56180521313280).

40416380839530 is an abundant number, since it is smaller than the sum of its proper divisors (71944661787030).

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

40416380839530 is a wasteful number, since it uses less digits than its factorization.

40416380839530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4638 (or 4635 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 40416380839530 in words is "forty trillion, four hundred sixteen billion, three hundred eighty million, eight hundred thirty-nine thousand, five hundred thirty".