434314240222100 has 144 divisors (see below), whose sum is σ = 1105434018528000. Its totient is φ = 148046999103360.

The previous prime is 434314240222087. The next prime is 434314240222111. The reversal of 434314240222100 is 1222042413434.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30662120 + ... + 42529919.

Almost surely, 2^{434314240222100} is an apocalyptic number.

It is an amenable number.

434314240222100 is an abundant number, since it is smaller than the sum of its proper divisors (671119778305900).

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

434314240222100 is a wasteful number, since it uses less digits than its factorization.

434314240222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73192247 (or 73192226 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 434314240222100 its reverse (1222042413434), we get a palindrome (435536282635534).

The spelling of 434314240222100 in words is "four hundred thirty-four trillion, three hundred fourteen billion, two hundred forty million, two hundred twenty-two thousand, one hundred".