140303120400 has 90 divisors (see below), whose sum is σ = 486890813370. Its totient is φ = 37414164480.

The previous prime is 140303120339. The next prime is 140303120431. The reversal of 140303120400 is 4021303041.

140303120400 is a `hidden beast` number, since 140 + 3 + 0 + 3 + 120 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 28901376 + 140274219024 = 5376^2 + 374532^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19482945 + ... + 19490144.

Almost surely, 2^140303120400 is an apocalyptic number.

140303120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140303120400 is an abundant number, since it is smaller than the sum of its proper divisors (346587692970).

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

140303120400 is a wasteful number, since it uses less digits than its factorization.

140303120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38973113 (or 38973099 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 140303120400 its reverse (4021303041), we get a palindrome (144324423441).

The spelling of 140303120400 in words is "one hundred forty billion, three hundred three million, one hundred twenty thousand, four hundred".