1440042400 has 72 divisors (see below), whose sum is σ = 3590395200. Its totient is φ = 563746560.

The previous prime is 1440042379. The next prime is 1440042431. The reversal of 1440042400 is 42400441.

It is a super-2 number, since 2×1440042400² = 4147444227595520000, which contains 22 as substring.

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, 18451 + ... + 56749.

It is an arithmetic number, because the mean of its divisors is an integer number (49866600).

Almost surely, 2^1440042400 is an apocalyptic number.

1440042400 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 1440042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795197600).

1440042400 is an abundant number, since it is smaller than the sum of its proper divisors (2150352800).

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

1440042400 is a wasteful number, since it uses less digits than its factorization.

1440042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38366 (or 38353 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 1440042400 is about 37947.8905869615. The cubic root of 1440042400 is about 1129.2543178617.

Adding to 1440042400 its reverse (42400441), we get a palindrome (1482442841).

The spelling of 1440042400 in words is "one billion, four hundred forty million, forty-two thousand, four hundred".