1400132400 has 120 divisors (see below), whose sum is σ = 4515377664. Its totient is φ = 370848000.

The previous prime is 1400132399. The next prime is 1400132407. The reversal of 1400132400 is 42310041.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1400132400.

It is not an unprimeable number, because it can be changed into a prime (1400132407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177337 + ... + 185063.

Almost surely, 2^1400132400 is an apocalyptic number.

1400132400 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 1400132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257688832).

1400132400 is an abundant number, since it is smaller than the sum of its proper divisors (3115245264).

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

1400132400 is a wasteful number, since it uses less digits than its factorization.

1400132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7899 (or 7888 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1400132400 is about 37418.3430953323. The cubic root of 1400132400 is about 1118.7242063069.

Adding to 1400132400 its reverse (42310041), we get a palindrome (1442442441).

The spelling of 1400132400 in words is "one billion, four hundred million, one hundred thirty-two thousand, four hundred".