1114221588480 has 3120 divisors, whose sum is σ = 5492055277632. Its totient is φ = 210213273600.

The previous prime is 1114221588457. The next prime is 1114221588527. The reversal of 1114221588480 is 848851224111.

1114221588480 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 2 + 21 + 588 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18265927650 + ... + 18265927710.

Almost surely, 2^{1114221588480} is an apocalyptic number.

1114221588480 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 1114221588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746027638816).

1114221588480 is an abundant number, since it is smaller than the sum of its proper divisors (4377833689152).

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

1114221588480 is a wasteful number, since it uses less digits than its factorization.

1114221588480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The spelling of 1114221588480 in words is "one trillion, one hundred fourteen billion, two hundred twenty-one million, five hundred eighty-eight thousand, four hundred eighty".