1440400752 has 160 divisors (see below), whose sum is σ = 5003251200. Its totient is φ = 387320832.

The previous prime is 1440400751. The next prime is 1440400777. The reversal of 1440400752 is 2570040441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1440400751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37399 + ... + 65417.

It is an arithmetic number, because the mean of its divisors is an integer number (31270320).

Almost surely, 2^1440400752 is an apocalyptic number.

1440400752 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 1440400752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501625600).

1440400752 is an abundant number, since it is smaller than the sum of its proper divisors (3562850448).

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

1440400752 is a wasteful number, since it uses less digits than its factorization.

1440400752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28060 (or 28048 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 1440400752 is about 37952.6119259268. The cubic root of 1440400752 is about 1129.3479810716.

The spelling of 1440400752 in words is "one billion, four hundred forty million, four hundred thousand, seven hundred fifty-two".