4415066400 has 72 divisors (see below), whose sum is σ = 14371048944. Its totient is φ = 1177350400.

The previous prime is 4415066399. The next prime is 4415066419. The reversal of 4415066400 is 46605144.

It is a super-2 number, since 2×4415066400² = 38985622632817920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 917406 + ... + 922205.

It is an arithmetic number, because the mean of its divisors is an integer number (199597902).

Almost surely, 2^4415066400 is an apocalyptic number.

4415066400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4415066400 is an abundant number, since it is smaller than the sum of its proper divisors (9955982544).

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

4415066400 is a wasteful number, since it uses less digits than its factorization.

4415066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839634 (or 1839621 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4415066400 is about 66445.9660175093. The cubic root of 4415066400 is about 1640.5107471275.

The spelling of 4415066400 in words is "four billion, four hundred fifteen million, sixty-six thousand, four hundred".