12754819440 has 640 divisors, whose sum is σ = 50332492800. Its totient is φ = 2940456960.

The previous prime is 12754819433. The next prime is 12754819457. The reversal of 12754819440 is 4491845721.

12754819440 is a `hidden beast` number, since 12 + 7 + 548 + 1 + 94 + 4 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 73727194 + ... + 73727366.

It is an arithmetic number, because the mean of its divisors is an integer number (78644520).

Almost surely, 2^12754819440 is an apocalyptic number.

12754819440 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 12754819440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25166246400).

12754819440 is an abundant number, since it is smaller than the sum of its proper divisors (37577673360).

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

12754819440 is a wasteful number, since it uses less digits than its factorization.

12754819440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 12754819440 in words is "twelve billion, seven hundred fifty-four million, eight hundred nineteen thousand, four hundred forty".