1392423600100 has 243 divisors, whose sum is σ = 3399440021523. Its totient is φ = 494811233280.

The previous prime is 1392423600067. The next prime is 1392423600163. The reversal of 1392423600100 is 10063242931.

The square root of 1392423600100 is 1180010.

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

It can be written as a sum of positive squares in 40 ways, for example, as 170266817956 + 1222156782144 = 412634^2 + 1105512^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4448637544 + ... + 4448637856.

Almost surely, 2^{1392423600100} is an apocalyptic number.

1392423600100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1392423600100 is the 1180010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1392423600100

1392423600100 is an abundant number, since it is smaller than the sum of its proper divisors (2007016421423).

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

1392423600100 is a wasteful number, since it uses less digits than its factorization.

1392423600100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 1392423600100 in words is "one trillion, three hundred ninety-two billion, four hundred twenty-three million, six hundred thousand, one hundred".