4090416512 has 288 divisors, whose sum is σ = 10916250120. Its totient is φ = 1516290048.

The previous prime is 4090416511. The next prime is 4090416527. The reversal of 4090416512 is 2156140904.

It is a super-2 number, since 2×4090416512² = 33463014483284492288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4090416511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18019343 + ... + 18019569.

Almost surely, 2^4090416512 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 4090416512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5458125060).

4090416512 is an abundant number, since it is smaller than the sum of its proper divisors (6825833608).

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

4090416512 is a wasteful number, since it uses less digits than its factorization.

4090416512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 4090416512 is about 63956.3641242996. The cubic root of 4090416512 is about 1599.2726527372.

The spelling of 4090416512 in words is "four billion, ninety million, four hundred sixteen thousand, five hundred twelve".