1400144000 has 64 divisors (see below), whose sum is σ = 3481147800. Its totient is φ = 560051200.

The previous prime is 1400143999. The next prime is 1400144003. The reversal of 1400144000 is 4410041.

It can be written as a sum of positive squares in 4 ways, for example, as 846577216 + 553566784 = 29096^2 + 23528^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1400144003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27755 + ... + 59754.

Almost surely, 2^1400144000 is an apocalyptic number.

1400144000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1400144000 is an abundant number, since it is smaller than the sum of its proper divisors (2081003800).

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

1400144000 is an frugal number, since it uses more digits than its factorization.

1400144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87538 (or 87516 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1400144000 is about 37418.4980992022. The cubic root of 1400144000 is about 1118.7272958159.

Adding to 1400144000 its reverse (4410041), we get a palindrome (1404554041).

The spelling of 1400144000 in words is "one billion, four hundred million, one hundred forty-four thousand".