12478766040 has 640 divisors, whose sum is σ = 49177497600. Its totient is φ = 2810557440.

The previous prime is 12478766017. The next prime is 12478766063. The reversal of 12478766040 is 4066787421.

12478766040 is a `hidden beast` number, since 12 + 478 + 76 + 60 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (12478766017) and next prime (12478766063).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24808429 + ... + 24808931.

It is an arithmetic number, because the mean of its divisors is an integer number (76839840).

Almost surely, 2^12478766040 is an apocalyptic number.

12478766040 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 12478766040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24588748800).

12478766040 is an abundant number, since it is smaller than the sum of its proper divisors (36698731560).

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

12478766040 is a wasteful number, since it uses less digits than its factorization.

12478766040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 12478766040 in words is "twelve billion, four hundred seventy-eight million, seven hundred sixty-six thousand, forty".