104201411434120 has 256 divisors, whose sum is σ = 315165576499200. Its totient is φ = 29944283765760.

The previous prime is 104201411434079. The next prime is 104201411434171. The reversal of 104201411434120 is 21434114102401.

It is a happy number.

It is a super-3 number, since 3×104201411434120³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32042647 + ... + 35144473.

It is an arithmetic number, because the mean of its divisors is an integer number (1231115533200).

Almost surely, 2^{104201411434120} is an apocalyptic number.

104201411434120 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 104201411434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157582788249600).

104201411434120 is an abundant number, since it is smaller than the sum of its proper divisors (210964165065080).

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

104201411434120 is a wasteful number, since it uses less digits than its factorization.

104201411434120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3102708 (or 3102704 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 104201411434120 its reverse (21434114102401), we get a palindrome (125635525536521).

The spelling of 104201411434120 in words is "one hundred four trillion, two hundred one billion, four hundred eleven million, four hundred thirty-four thousand, one hundred twenty".