104434314130400 has 36 divisors (see below), whose sum is σ = 254950269372792. Its totient is φ = 41773725651840.

The previous prime is 104434314130283. The next prime is 104434314130423. The reversal of 104434314130400 is 4031413434401.

It is a super-3 number, since 3×104434314130400³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65271445532 + ... + 65271447131.

It is an arithmetic number, because the mean of its divisors is an integer number (7081951927022).

Almost surely, 2^{104434314130400} is an apocalyptic number.

104434314130400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104434314130400 is an abundant number, since it is smaller than the sum of its proper divisors (150515955242392).

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

104434314130400 is a wasteful number, since it uses less digits than its factorization.

104434314130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130542892683 (or 130542892670 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 104434314130400 its reverse (4031413434401), we get a palindrome (108465727564801).

The spelling of 104434314130400 in words is "one hundred four trillion, four hundred thirty-four billion, three hundred fourteen million, one hundred thirty thousand, four hundred".