1401334400 has 96 divisors (see below), whose sum is σ = 3481203900. Its totient is φ = 557383680.

The previous prime is 1401334397. The next prime is 1401334423. The reversal of 1401334400 is 44331041.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 66455104 + 1334879296 = 8152^2 + 36536^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 616466 + ... + 618734.

Almost surely, 2^1401334400 is an apocalyptic number.

1401334400 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 1401334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740601950).

1401334400 is an abundant number, since it is smaller than the sum of its proper divisors (2079869500).

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

1401334400 is a wasteful number, since it uses less digits than its factorization.

1401334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1401334400 is about 37434.4012907913. The cubic root of 1401334400 is about 1119.0442526762.

Adding to 1401334400 its reverse (44331041), we get a palindrome (1445665441).

The spelling of 1401334400 in words is "one billion, four hundred one million, three hundred thirty-four thousand, four hundred".