1418038272 has 352 divisors, whose sum is σ = 5093591040. Its totient is φ = 380436480.

The previous prime is 1418038261. The next prime is 1418038291. The reversal of 1418038272 is 2728308141.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3289897 + ... + 3290327.

Almost surely, 2^1418038272 is an apocalyptic number.

1418038272 is a gapful number since it is divisible by the number (12) 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 1418038272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546795520).

1418038272 is an abundant number, since it is smaller than the sum of its proper divisors (3675552768).

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

1418038272 is a wasteful number, since it uses less digits than its factorization.

1418038272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1418038272 is about 37656.8489388053. The cubic root of 1418038272 is about 1123.4730288124.

The spelling of 1418038272 in words is "one billion, four hundred eighteen million, thirty-eight thousand, two hundred seventy-two".