1392640000 has 180 divisors, whose sum is σ = 3685206294. Its totient is φ = 524288000.

The previous prime is 1392639991. The next prime is 1392640021. The reversal of 1392640000 is 462931.

It can be written as a sum of positive squares in 5 ways, for example, as 89718784 + 1302921216 = 9472^2 + 36096^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 81919992 + ... + 81920008.

Almost surely, 2^1392640000 is an apocalyptic number.

1392640000 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 1392640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842603147).

1392640000 is an abundant number, since it is smaller than the sum of its proper divisors (2292566294).

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

1392640000 is an frugal number, since it uses more digits than its factorization.

1392640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 1392640000 is about 37318.0921270099. The cubic root of 1392640000 is about 1116.7251275054.

The spelling of 1392640000 in words is "one billion, three hundred ninety-two million, six hundred forty thousand".