1501120380480 has 448 divisors, whose sum is σ = 5680671424512. Its totient is φ = 328617492480.

The previous prime is 1501120380469. The next prime is 1501120380509. The reversal of 1501120380480 is 840830211051.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20169897 + ... + 20244183.

It is an arithmetic number, because the mean of its divisors is an integer number (12680070144).

Almost surely, 2^{1501120380480} is an apocalyptic number.

1501120380480 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 1501120380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840335712256).

1501120380480 is an abundant number, since it is smaller than the sum of its proper divisors (4179551044032).

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

1501120380480 is a wasteful number, since it uses less digits than its factorization.

1501120380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74442 (or 74432 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 1501120380480 in words is "one trillion, five hundred one billion, one hundred twenty million, three hundred eighty thousand, four hundred eighty".