1393920000 has 540 divisors, whose sum is σ = 5529679155. Its totient is φ = 337920000.

The previous prime is 1393919999. The next prime is 1393920001. The reversal of 1393920000 is 293931.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (1393919999) and next prime (1393920001).

It can be written as a sum of positive squares in 3 ways, for example, as 322274304 + 1071645696 = 17952^2 + 32736^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=26400.

It is not an unprimeable number, because it can be changed into a prime (1393920001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 126719995 + ... + 126720005.

Almost surely, 2^1393920000 is an apocalyptic number.

1393920000 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 1393920000

1393920000 is an abundant number, since it is smaller than the sum of its proper divisors (4135759155).

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

1393920000 is an equidigital number, since it uses as much as digits as its factorization.

1393920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 1393920000 is about 37335.2380466497. The cubic root of 1393920000 is about 1117.0671566623.

Multiplying 1393920000 by its product of nonzero digits (1458), we get a square (2032335360000 = 1425600²).

The spelling of 1393920000 in words is "one billion, three hundred ninety-three million, nine hundred twenty thousand".