1401032320 has 128 divisors (see below), whose sum is σ = 3470040000. Its totient is φ = 540549120.

The previous prime is 1401032267. The next prime is 1401032329. The reversal of 1401032320 is 232301041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1401032294 and 1401032303.

It is not an unprimeable number, because it can be changed into a prime (1401032329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2807431 + ... + 2807929.

Almost surely, 2^1401032320 is an apocalyptic number.

1401032320 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 1401032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735020000).

1401032320 is an abundant number, since it is smaller than the sum of its proper divisors (2069007680).

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

1401032320 is a wasteful number, since it uses less digits than its factorization.

1401032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1401032320 is about 37430.3662819375. The cubic root of 1401032320 is about 1118.9638376135.

Adding to 1401032320 its reverse (232301041), we get a palindrome (1633333361).

The spelling of 1401032320 in words is "one billion, four hundred one million, thirty-two thousand, three hundred twenty".