1480515332400 has 960 divisors, whose sum is σ = 6325145164800. Its totient is φ = 324934778880.

The previous prime is 1480515332353. The next prime is 1480515332407. The reversal of 1480515332400 is 42335150841.

1480515332400 is a `hidden beast` number, since 1 + 4 + 80 + 5 + 1 + 533 + 2 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1480515332407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45332877 + ... + 45365523.

It is an arithmetic number, because the mean of its divisors is an integer number (6588692880).

Almost surely, 2^{1480515332400} is an apocalyptic number.

1480515332400 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 1480515332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162572582400).

1480515332400 is an abundant number, since it is smaller than the sum of its proper divisors (4844629832400).

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

1480515332400 is a wasteful number, since it uses less digits than its factorization.

1480515332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32723 (or 32706 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1480515332400 in words is "one trillion, four hundred eighty billion, five hundred fifteen million, three hundred thirty-two thousand, four hundred".