1418264880 has 320 divisors, whose sum is σ = 4875878400. Its totient is φ = 339655680.

The previous prime is 1418264863. The next prime is 1418264891. The reversal of 1418264880 is 884628141.

It is a super-2 number, since 2×1418264880² = 4022950539682828800, which contains 22 as substring.

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, 11167377 + ... + 11167503.

It is an arithmetic number, because the mean of its divisors is an integer number (15237120).

Almost surely, 2^1418264880 is an apocalyptic number.

1418264880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1418264880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437939200).

1418264880 is an abundant number, since it is smaller than the sum of its proper divisors (3457613520).

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

1418264880 is a wasteful number, since it uses less digits than its factorization.

1418264880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 1418264880 is about 37659.8576736556. The cubic root of 1418264880 is about 1123.5328707365.

The spelling of 1418264880 in words is "one billion, four hundred eighteen million, two hundred sixty-four thousand, eight hundred eighty".