104001431334400 has 120 divisors (see below), whose sum is σ = 257832666251424. Its totient is φ = 41574580224000.

The previous prime is 104001431334389. The next prime is 104001431334407. The reversal of 104001431334400 is 4433134100401.

It is a happy number.

It is a super-3 number, since 3×104001431334400³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104001431334407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17955289 + ... + 23030311.

Almost surely, 2^{104001431334400} is an apocalyptic number.

104001431334400 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 104001431334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128916333125712).

104001431334400 is an abundant number, since it is smaller than the sum of its proper divisors (153831234917024).

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

104001431334400 is an equidigital number, since it uses as much as digits as its factorization.

104001431334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5076652 (or 5076631 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 104001431334400 its reverse (4433134100401), we get a palindrome (108434565434801).

The spelling of 104001431334400 in words is "one hundred four trillion, one billion, four hundred thirty-one million, three hundred thirty-four thousand, four hundred".