4096409637936 has 320 divisors, whose sum is σ = 13305405542400. Its totient is φ = 1055019064320.

The previous prime is 4096409637869. The next prime is 4096409638007. The reversal of 4096409637936 is 6397369046904.

It is a super-2 number, since 2×4096409637936² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 266876790 + ... + 266892138.

It is an arithmetic number, because the mean of its divisors is an integer number (41579392320).

Almost surely, 2^{4096409637936} 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 4096409637936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652702771200).

4096409637936 is an abundant number, since it is smaller than the sum of its proper divisors (9208995904464).

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

4096409637936 is a wasteful number, since it uses less digits than its factorization.

4096409637936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15984 (or 15978 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 66.

The spelling of 4096409637936 in words is "four trillion, ninety-six billion, four hundred nine million, six hundred thirty-seven thousand, nine hundred thirty-six".