1440794400 has 288 divisors, whose sum is σ = 4900186368. Its totient is φ = 367411200.

The previous prime is 1440794323. The next prime is 1440794419. The reversal of 1440794400 is 44970441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5978280 + ... + 5978520.

It is an arithmetic number, because the mean of its divisors is an integer number (17014536).

Almost surely, 2^1440794400 is an apocalyptic number.

1440794400 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 1440794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450093184).

1440794400 is an abundant number, since it is smaller than the sum of its proper divisors (3459391968).

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

1440794400 is a wasteful number, since it uses less digits than its factorization.

1440794400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 1440794400 is about 37957.7976178808. The cubic root of 1440794400 is about 1129.4508517671.

The spelling of 1440794400 in words is "one billion, four hundred forty million, seven hundred ninety-four thousand, four hundred".