12476701440 has 972 divisors, whose sum is σ = 54144063792. Its totient is φ = 2639831040.

The previous prime is 12476701427. The next prime is 12476701441. The reversal of 12476701440 is 4410767421.

It is a happy number.

12476701440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12476701395 and 12476701404.

It is not an unprimeable number, because it can be changed into a prime (12476701441) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 402474225 + ... + 402474255.

Almost surely, 2^12476701440 is an apocalyptic number.

12476701440 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 12476701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27072031896).

12476701440 is an abundant number, since it is smaller than the sum of its proper divisors (41667362352).

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

12476701440 is a wasteful number, since it uses less digits than its factorization.

12476701440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 12476701440 in words is "twelve billion, four hundred seventy-six million, seven hundred one thousand, four hundred forty".