1403140400 has 60 divisors (see below), whose sum is σ = 3392668272. Its totient is φ = 557656320.

The previous prime is 1403140399. The next prime is 1403140421. The reversal of 1403140400 is 40413041.

It is a super-2 number, since 2×1403140400² = 3937605964224320000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51629 + ... + 73971.

Almost surely, 2^1403140400 is an apocalyptic number.

1403140400 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 1403140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696334136).

1403140400 is an abundant number, since it is smaller than the sum of its proper divisors (1989527872).

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

1403140400 is a wasteful number, since it uses less digits than its factorization.

1403140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22518 (or 22507 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1403140400 is about 37458.5157207276. The cubic root of 1403140400 is about 1119.5247771300.

Adding to 1403140400 its reverse (40413041), we get a palindrome (1443553441).

The spelling of 1403140400 in words is "one billion, four hundred three million, one hundred forty thousand, four hundred".