434404213100 has 288 divisors, whose sum is σ = 1169604140544. Its totient is φ = 137785190400.

The previous prime is 434404213097. The next prime is 434404213147. The reversal of 434404213100 is 1312404434.

It is a super-2 number, since 2×434404213100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 434404213100.

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, 27290744 + ... + 27306656.

It is an arithmetic number, because the mean of its divisors is an integer number (4061125488).

Almost surely, 2^434404213100 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 434404213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584802070272).

434404213100 is an abundant number, since it is smaller than the sum of its proper divisors (735199927444).

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

434404213100 is a wasteful number, since it uses less digits than its factorization.

434404213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16057 (or 16050 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 434404213100 its reverse (1312404434), we get a palindrome (435716617534).

The spelling of 434404213100 in words is "four hundred thirty-four billion, four hundred four million, two hundred thirteen thousand, one hundred".