1460540608800 has 1728 divisors, whose sum is σ = 6310778584320. Its totient is φ = 290211102720.

The previous prime is 1460540608799. The next prime is 1460540608817. The reversal of 1460540608800 is 88060450641.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2566854916 + ... + 2566855484.

It is an arithmetic number, because the mean of its divisors is an integer number (3652070940).

Almost surely, 2^{1460540608800} is an apocalyptic number.

1460540608800 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 1460540608800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155389292160).

1460540608800 is an abundant number, since it is smaller than the sum of its proper divisors (4850237975520).

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

1460540608800 is a wasteful number, since it uses less digits than its factorization.

1460540608800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 1460540608800 in words is "one trillion, four hundred sixty billion, five hundred forty million, six hundred eight thousand, eight hundred".