434124402000 has 320 divisors, whose sum is σ = 1465370210304. Its totient is φ = 110361715200.

The previous prime is 434124401999. The next prime is 434124402007. The reversal of 434124402000 is 204421434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434124402007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42360877 + ... + 42371123.

Almost surely, 2^434124402000 is an apocalyptic number.

434124402000 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 434124402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732685105152).

434124402000 is an abundant number, since it is smaller than the sum of its proper divisors (1031245808304).

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

434124402000 is a wasteful number, since it uses less digits than its factorization.

434124402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10603 (or 10587 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 434124402000 its reverse (204421434), we get a palindrome (434328823434).

The spelling of 434124402000 in words is "four hundred thirty-four billion, one hundred twenty-four million, four hundred two thousand".