1450735656960 has 448 divisors, whose sum is σ = 4741187774400. Its totient is φ = 378695319552.

The previous prime is 1450735656941. The next prime is 1450735656973. The reversal of 1450735656960 is 696565370541.

It is a self number, because there is not a number n which added to its sum of digits gives 1450735656960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1192058272 + ... + 1192059488.

It is an arithmetic number, because the mean of its divisors is an integer number (10583008425).

Almost surely, 2^{1450735656960} is an apocalyptic number.

1450735656960 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 1450735656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370593887200).

1450735656960 is an abundant number, since it is smaller than the sum of its proper divisors (3290452117440).

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

1450735656960 is a wasteful number, since it uses less digits than its factorization.

1450735656960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 57.

The spelling of 1450735656960 in words is "one trillion, four hundred fifty billion, seven hundred thirty-five million, six hundred fifty-six thousand, nine hundred sixty".