140120400 has 180 divisors, whose sum is σ = 522353472. Its totient is φ = 32014080.

The previous prime is 140120399. The next prime is 140120413. The reversal of 140120400 is 4021041.

140120400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57609 + ... + 59991.

Almost surely, 2^140120400 is an apocalyptic number.

140120400 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 140120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261176736).

140120400 is an abundant number, since it is smaller than the sum of its proper divisors (382233072).

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

140120400 is a wasteful number, since it uses less digits than its factorization.

140120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 140120400 is about 11837.2463013997. The cubic root of 140120400 is about 519.3982190323.

Adding to 140120400 its reverse (4021041), we get a palindrome (144141441).

The spelling of 140120400 in words is "one hundred forty million, one hundred twenty thousand, four hundred".