434441133121140 has 48 divisors (see below), whose sum is σ = 1351594636378560. Its totient is φ = 115850968832160.

The previous prime is 434441133121117. The next prime is 434441133121159. The reversal of 434441133121140 is 41121331144434.

434441133121140 is a `hidden beast` number, since 4 + 34 + 4 + 41 + 1 + 331 + 211 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 434441133121095 and 434441133121104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402260307906 + ... + 402260308985.

It is an arithmetic number, because the mean of its divisors is an integer number (28158221591220).

Almost surely, 2^{434441133121140} is an apocalyptic number.

It is an amenable number.

434441133121140 is an abundant number, since it is smaller than the sum of its proper divisors (917153503257420).

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

434441133121140 is a wasteful number, since it uses less digits than its factorization.

434441133121140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804520616909 (or 804520616901 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 434441133121140 its reverse (41121331144434), we get a palindrome (475562464265574).

The spelling of 434441133121140 in words is "four hundred thirty-four trillion, four hundred forty-one billion, one hundred thirty-three million, one hundred twenty-one thousand, one hundred forty".