434100260000 has 240 divisors, whose sum is σ = 1179832832640. Its totient is φ = 155850240000.

The previous prime is 434100259997. The next prime is 434100260017. The reversal of 434100260000 is 62001434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17367512 + ... + 17392488.

It is an arithmetic number, because the mean of its divisors is an integer number (4915970136).

Almost surely, 2^434100260000 is an apocalyptic number.

434100260000 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 434100260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589916416320).

434100260000 is an abundant number, since it is smaller than the sum of its proper divisors (745732572640).

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

434100260000 is a wasteful number, since it uses less digits than its factorization.

434100260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25097 (or 25074 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 434100260000 its reverse (62001434), we get a palindrome (434162261434).

The spelling of 434100260000 in words is "four hundred thirty-four billion, one hundred million, two hundred sixty thousand".