140233100400 has 360 divisors, whose sum is σ = 504595668096. Its totient is φ = 36027187200.

The previous prime is 140233100363. The next prime is 140233100411. The reversal of 140233100400 is 4001332041.

140233100400 is a `hidden beast` number, since 140 + 23 + 3 + 100 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26000104 + ... + 26005496.

Almost surely, 2^140233100400 is an apocalyptic number.

140233100400 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 140233100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252297834048).

140233100400 is an abundant number, since it is smaller than the sum of its proper divisors (364362567696).

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

140233100400 is a wasteful number, since it uses less digits than its factorization.

140233100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5681 (or 5667 counting only the distinct ones).

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

Adding to 140233100400 its reverse (4001332041), we get a palindrome (144234432441).

The spelling of 140233100400 in words is "one hundred forty billion, two hundred thirty-three million, one hundred thousand, four hundred".