12477205440 has 224 divisors, whose sum is σ = 50305167360. Its totient is φ = 2851918848.

The previous prime is 12477205421. The next prime is 12477205459. The reversal of 12477205440 is 4450277421.

12477205440 is a `hidden beast` number, since 1 + 2 + 4 + 7 + 7 + 205 + 440 = 666.

12477205440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12477205421) and next prime (12477205459).

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 12477205395 and 12477205404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42672 + ... + 163631.

It is an arithmetic number, because the mean of its divisors is an integer number (224576640).

Almost surely, 2^12477205440 is an apocalyptic number.

12477205440 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 12477205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25152583680).

12477205440 is an abundant number, since it is smaller than the sum of its proper divisors (37827961920).

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

12477205440 is a wasteful number, since it uses less digits than its factorization.

12477205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206336 (or 206320 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 12477205440 in words is "twelve billion, four hundred seventy-seven million, two hundred five thousand, four hundred forty".