1460144320400 has 60 divisors (see below), whose sum is σ = 3508117557252. Its totient is φ = 584037611520.

The previous prime is 1460144320391. The next prime is 1460144320403. The reversal of 1460144320400 is 40234410641.

It can be written as a sum of positive squares in 6 ways, for example, as 996286096 + 1459148034304 = 31564^2 + 1207952^2 .

It is not an unprimeable number, because it can be changed into a prime (1460144320403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18158684 + ... + 18238916.

Almost surely, 2^{1460144320400} is an apocalyptic number.

1460144320400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1460144320400 is an abundant number, since it is smaller than the sum of its proper divisors (2047973236852).

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

1460144320400 is a wasteful number, since it uses less digits than its factorization.

1460144320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125748 (or 125737 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The spelling of 1460144320400 in words is "one trillion, four hundred sixty billion, one hundred forty-four million, three hundred twenty thousand, four hundred".