434412324990 has 128 divisors (see below), whose sum is σ = 1324562595840. Its totient is φ = 99246297600.

The previous prime is 434412324989. The next prime is 434412325033. The reversal of 434412324990 is 99423214434.

434412324990 is a `hidden beast` number, since 4 + 34 + 4 + 123 + 2 + 499 + 0 = 666.

434412324990 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 3935350 + ... + 4044230.

It is an arithmetic number, because the mean of its divisors is an integer number (10348145280).

Almost surely, 2^434412324990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434412324990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662281297920).

434412324990 is an abundant number, since it is smaller than the sum of its proper divisors (890150270850).

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

434412324990 is a wasteful number, since it uses less digits than its factorization.

434412324990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111015 (or 111009 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 434412324990 in words is "four hundred thirty-four billion, four hundred twelve million, three hundred twenty-four thousand, nine hundred ninety".