12440777580 has 288 divisors, whose sum is σ = 49117985280. Its totient is φ = 2585036160.

The previous prime is 12440777537. The next prime is 12440777627. The reversal of 12440777580 is 8577704421.

12440777580 is a `hidden beast` number, since 1 + 24 + 40 + 7 + 7 + 7 + 580 = 666.

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 95 ways as a sum of consecutive naturals, for example, 269689 + ... + 312431.

It is an arithmetic number, because the mean of its divisors is an integer number (170548560).

Almost surely, 2^12440777580 is an apocalyptic number.

12440777580 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 12440777580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24558992640).

12440777580 is an abundant number, since it is smaller than the sum of its proper divisors (36677207700).

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

12440777580 is a wasteful number, since it uses less digits than its factorization.

12440777580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42786 (or 42771 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

It can be divided in two parts, 124 and 40777580, that added together give a palindrome (40777704).

The spelling of 12440777580 in words is "twelve billion, four hundred forty million, seven hundred seventy-seven thousand, five hundred eighty".