1450379460096 has 480 divisors, whose sum is σ = 4851911832768. Its totient is φ = 408535695360.

The previous prime is 1450379460091. The next prime is 1450379460109. The reversal of 1450379460096 is 6900649730541.

1450379460096 is a `hidden beast` number, since 1 + 4 + 503 + 7 + 9 + 46 + 0 + 0 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1450379460091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 979323676 + ... + 979325156.

Almost surely, 2^{1450379460096} is an apocalyptic number.

1450379460096 is a gapful number since it is divisible by the number (16) 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 1450379460096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425955916384).

1450379460096 is an abundant number, since it is smaller than the sum of its proper divisors (3401532372672).

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

1450379460096 is a wasteful number, since it uses less digits than its factorization.

1450379460096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 1450379460096 in words is "one trillion, four hundred fifty billion, three hundred seventy-nine million, four hundred sixty thousand, ninety-six".