4103434401000 has 512 divisors, whose sum is σ = 14410116864000. Its totient is φ = 971597088000.

The previous prime is 4103434400999. The next prime is 4103434401019. The reversal of 4103434401000 is 1044343014.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 171687051 + ... + 171710949.

It is an arithmetic number, because the mean of its divisors is an integer number (28144759500).

Almost surely, 2^{4103434401000} is an apocalyptic number.

4103434401000 is a gapful number since it is divisible by the number (40) 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 4103434401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7205058432000).

4103434401000 is an abundant number, since it is smaller than the sum of its proper divisors (10306682463000).

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

4103434401000 is a wasteful number, since it uses less digits than its factorization.

4103434401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23999 (or 23963 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4103434401000 its reverse (1044343014), we get a palindrome (4104478744014).

The spelling of 4103434401000 in words is "four trillion, one hundred three billion, four hundred thirty-four million, four hundred one thousand".