414404141100 has 72 divisors (see below), whose sum is σ = 1199849610960. Its totient is φ = 110430324480.

The previous prime is 414404141071. The next prime is 414404141117. The reversal of 414404141100 is 1141404414.

414404141100 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54627 + ... + 912026.

It is an arithmetic number, because the mean of its divisors is an integer number (16664577930).

Almost surely, 2^414404141100 is an apocalyptic number.

It is an amenable number.

414404141100 is an abundant number, since it is smaller than the sum of its proper divisors (785445469860).

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

414404141100 is a wasteful number, since it uses less digits than its factorization.

414404141100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968099 (or 968092 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 414404141100 its reverse (1141404414), we get a palindrome (415545545514).

The spelling of 414404141100 in words is "four hundred fourteen billion, four hundred four million, one hundred forty-one thousand, one hundred".