1451104640 has 64 divisors (see below), whose sum is σ = 3473712000. Its totient is φ = 579661824.

The previous prime is 1451104631. The next prime is 1451104679. The reversal of 1451104640 is 464011541.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 824081 + ... + 825839.

It is an arithmetic number, because the mean of its divisors is an integer number (54276750).

Almost surely, 2^1451104640 is an apocalyptic number.

1451104640 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 1451104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736856000).

1451104640 is an abundant number, since it is smaller than the sum of its proper divisors (2022607360).

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

1451104640 is a wasteful number, since it uses less digits than its factorization.

1451104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 1451104640 is about 38093.3674016882. The cubic root of 1451104640 is about 1132.1385455586.

The spelling of 1451104640 in words is "one billion, four hundred fifty-one million, one hundred four thousand, six hundred forty".