434100998393080 has 256 divisors, whose sum is σ = 1028118176870400. Its totient is φ = 164758803701760.

The previous prime is 434100998393011. The next prime is 434100998393113. The reversal of 434100998393080 is 80393899001434.

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, 11894137392 + ... + 11894173888.

It is an arithmetic number, because the mean of its divisors is an integer number (4016086628400).

Almost surely, 2^{434100998393080} is an apocalyptic number.

434100998393080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434100998393080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514059088435200).

434100998393080 is an abundant number, since it is smaller than the sum of its proper divisors (594017178477320).

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

434100998393080 is a wasteful number, since it uses less digits than its factorization.

434100998393080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37494 (or 37490 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 61.

The spelling of 434100998393080 in words is "four hundred thirty-four trillion, one hundred billion, nine hundred ninety-eight million, three hundred ninety-three thousand, eighty".