3416303466400 has 144 divisors (see below), whose sum is σ = 9577092339360. Its totient is φ = 1176908313600.

The previous prime is 3416303466391. The next prime is 3416303466439. The reversal of 3416303466400 is 46643036143.

It is a super-2 number, since 2×3416303466400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 10049019 + ... + 10383418.

It is an arithmetic number, because the mean of its divisors is an integer number (66507585690).

Almost surely, 2^{3416303466400} is an apocalyptic number.

It is an amenable number.

3416303466400 is an abundant number, since it is smaller than the sum of its proper divisors (6160788872960).

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

3416303466400 is a wasteful number, since it uses less digits than its factorization.

3416303466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20432487 (or 20432474 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 40.

The spelling of 3416303466400 in words is "three trillion, four hundred sixteen billion, three hundred three million, four hundred sixty-six thousand, four hundred".