1460145732480 has 384 divisors, whose sum is σ = 5390526697920. Its totient is φ = 362907500544.

The previous prime is 1460145732469. The next prime is 1460145732503. The reversal of 1460145732480 is 842375410641.

1460145732480 is a `hidden beast` number, since 1 + 4 + 60 + 1 + 45 + 73 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 10013374 + ... + 10158146.

Almost surely, 2^{1460145732480} is an apocalyptic number.

1460145732480 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 1460145732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695263348960).

1460145732480 is an abundant number, since it is smaller than the sum of its proper divisors (3930380965440).

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

1460145732480 is a wasteful number, since it uses less digits than its factorization.

1460145732480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144918 (or 144903 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1460145732480 in words is "one trillion, four hundred sixty billion, one hundred forty-five million, seven hundred thirty-two thousand, four hundred eighty".