12654109440 has 576 divisors, whose sum is σ = 54040089600. Its totient is φ = 2739142656.

The previous prime is 12654109381. The next prime is 12654109451. The reversal of 12654109440 is 4490145621.

12654109440 is a `hidden beast` number, since 1 + 26 + 541 + 0 + 94 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×12654109440² (a number of 21 digits) contains 22 as substring.

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 = 12654109395 and 12654109404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4595104 + ... + 4597856.

It is an arithmetic number, because the mean of its divisors is an integer number (93819600).

Almost surely, 2^12654109440 is an apocalyptic number.

12654109440 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 12654109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27020044800).

12654109440 is an abundant number, since it is smaller than the sum of its proper divisors (41385980160).

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

12654109440 is a wasteful number, since it uses less digits than its factorization.

12654109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12654109440 in words is "twelve billion, six hundred fifty-four million, one hundred nine thousand, four hundred forty".