434290994820 has 288 divisors, whose sum is σ = 1450803070080. Its totient is φ = 108742072320.

The previous prime is 434290994803. The next prime is 434290994857. The reversal of 434290994820 is 28499092434.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10413610 + ... + 10455230.

It is an arithmetic number, because the mean of its divisors is an integer number (5037510660).

Almost surely, 2^434290994820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434290994820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725401535040).

434290994820 is an abundant number, since it is smaller than the sum of its proper divisors (1016512075260).

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

434290994820 is a wasteful number, since it uses less digits than its factorization.

434290994820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41777 (or 41763 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 434290994820 in words is "four hundred thirty-four billion, two hundred ninety million, nine hundred ninety-four thousand, eight hundred twenty".