4003976434416 has 120 divisors (see below), whose sum is σ = 12033113938560. Its totient is φ = 1143921373056.

The previous prime is 4003976434397. The next prime is 4003976434421. The reversal of 4003976434416 is 6144346793004.

It is a super-2 number, since 2×4003976434416² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45695575 + ... + 45783113.

It is an arithmetic number, because the mean of its divisors is an integer number (100275949488).

Almost surely, 2^{4003976434416} is an apocalyptic number.

It is an amenable number.

4003976434416 is an abundant number, since it is smaller than the sum of its proper divisors (8029137504144).

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

4003976434416 is a wasteful number, since it uses less digits than its factorization.

4003976434416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107011 (or 106998 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 51.

The spelling of 4003976434416 in words is "four trillion, three billion, nine hundred seventy-six million, four hundred thirty-four thousand, four hundred sixteen".