1440400962 has 96 divisors (see below), whose sum is σ = 3937114944. Its totient is φ = 345340800.

The previous prime is 1440400919. The next prime is 1440400979. The reversal of 1440400962 is 2690040441.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24912 + ... + 59172.

It is an arithmetic number, because the mean of its divisors is an integer number (41011614).

Almost surely, 2^1440400962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1440400962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968557472).

1440400962 is an abundant number, since it is smaller than the sum of its proper divisors (2496713982).

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

1440400962 is a wasteful number, since it uses less digits than its factorization.

1440400962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34304 (or 34297 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1440400962 is about 37952.6146925347. The cubic root of 1440400962 is about 1129.3480359552.

The spelling of 1440400962 in words is "one billion, four hundred forty million, four hundred thousand, nine hundred sixty-two".