1425378107664 has 405 divisors, whose sum is σ = 4738010152239. Its totient is φ = 398855439360.

The previous prime is 1425378107651. The next prime is 1425378107687. The reversal of 1425378107664 is 4667018735241.

The square root of 1425378107664 is 1193892.

It is a perfect power (a square), and thus also a powerful number.

1425378107664 is a `hidden beast` number, since 1 + 42 + 537 + 8 + 1 + 0 + 7 + 6 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 904971690000 + 520406417664 = 951300^2 + 721392^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1425378107664.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6117502492 + ... + 6117502724.

Almost surely, 2^{1425378107664} is an apocalyptic number.

1425378107664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1425378107664 is the 1193892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1425378107664

1425378107664 is an abundant number, since it is smaller than the sum of its proper divisors (3312632044575).

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

1425378107664 is an equidigital number, since it uses as much as digits as its factorization.

1425378107664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 1425378107664 in words is "one trillion, four hundred twenty-five billion, three hundred seventy-eight million, one hundred seven thousand, six hundred sixty-four".