1132480500480 has 576 divisors, whose sum is σ = 4617072230400. Its totient is φ = 257486929920.

The previous prime is 1132480500469. The next prime is 1132480500491. The reversal of 1132480500480 is 840050842311.

1132480500480 is a `hidden beast` number, since 1 + 1 + 32 + 4 + 80 + 500 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1132480500469) and next prime (1132480500491).

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 46194466 + ... + 46218974.

It is an arithmetic number, because the mean of its divisors is an integer number (8015750400).

Almost surely, 2^{1132480500480} is an apocalyptic number.

1132480500480 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 1132480500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308536115200).

1132480500480 is an abundant number, since it is smaller than the sum of its proper divisors (3484591729920).

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

1132480500480 is a wasteful number, since it uses less digits than its factorization.

1132480500480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24737 (or 24717 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 1132480500480 in words is "one trillion, one hundred thirty-two billion, four hundred eighty million, five hundred thousand, four hundred eighty".