1414404864 has 108 divisors (see below), whose sum is σ = 4092088000. Its totient is φ = 469850112.

The previous prime is 1414404847. The next prime is 1414404889. The reversal of 1414404864 is 4684044141.

It is a super-2 number, since 2×1414404864² = 4001082238613716992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 803217 + ... + 804975.

Almost surely, 2^1414404864 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 1414404864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046044000).

1414404864 is an abundant number, since it is smaller than the sum of its proper divisors (2677683136).

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

1414404864 is a wasteful number, since it uses less digits than its factorization.

1414404864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 1414404864 is about 37608.5743414982. The cubic root of 1414404864 is about 1122.5126580947.

The spelling of 1414404864 in words is "one billion, four hundred fourteen million, four hundred four thousand, eight hundred sixty-four".