104144140200400 has 60 divisors (see below), whose sum is σ = 251280143823852. Its totient is φ = 41478867819520.

The previous prime is 104144140200367. The next prime is 104144140200403. The reversal of 104144140200400 is 4002041441401.

It can be written as a sum of positive squares in 6 ways, for example, as 2938769632656 + 101205370567744 = 1714284^2 + 10060088^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104144140200403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 558619999 + ... + 558806398.

Almost surely, 2^{104144140200400} is an apocalyptic number.

104144140200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104144140200400 is an abundant number, since it is smaller than the sum of its proper divisors (147136003623452).

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

104144140200400 is a wasteful number, since it uses less digits than its factorization.

104144140200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117426648 (or 1117426637 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 104144140200400 its reverse (4002041441401), we get a palindrome (108146181641801).

The spelling of 104144140200400 in words is "one hundred four trillion, one hundred forty-four billion, one hundred forty million, two hundred thousand, four hundred".