1400152320 has 432 divisors, whose sum is σ = 5624760960. Its totient is φ = 314966016.

The previous prime is 1400152319. The next prime is 1400152333. The reversal of 1400152320 is 232510041.

1400152320 is a `hidden beast` number, since 140 + 0 + 1 + 523 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1400152293 and 1400152302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7821991 + ... + 7822169.

It is an arithmetic number, because the mean of its divisors is an integer number (13020280).

Almost surely, 2^1400152320 is an apocalyptic number.

1400152320 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 1400152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812380480).

1400152320 is an abundant number, since it is smaller than the sum of its proper divisors (4224608640).

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

1400152320 is a wasteful number, since it uses less digits than its factorization.

1400152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1400152320 is about 37418.6092739963. The cubic root of 1400152320 is about 1118.7295117291.

Adding to 1400152320 its reverse (232510041), we get a palindrome (1632662361).

The spelling of 1400152320 in words is "one billion, four hundred million, one hundred fifty-two thousand, three hundred twenty".