1392431040 has 1344 divisors, whose sum is σ = 7005035520. Its totient is φ = 255467520.

The previous prime is 1392431021. The next prime is 1392431069. The reversal of 1392431040 is 401342931.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1392430995 and 1392431013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60540469 + ... + 60540491.

It is an arithmetic number, because the mean of its divisors is an integer number (5212080).

Almost surely, 2^1392431040 is an apocalyptic number.

1392431040 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 1392431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502517760).

1392431040 is an abundant number, since it is smaller than the sum of its proper divisors (5612604480).

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

1392431040 is a wasteful number, since it uses less digits than its factorization.

1392431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1392431040 is about 37315.2923075781. The cubic root of 1392431040 is about 1116.6692713486.

Adding to 1392431040 its reverse (401342931), we get a palindrome (1793773971).

The spelling of 1392431040 in words is "one billion, three hundred ninety-two million, four hundred thirty-one thousand, forty".