434020210400000 has 432 divisors, whose sum is σ = 1237957257664512. Its totient is φ = 148758750720000.

The previous prime is 434020210399981. The next prime is 434020210400003. The reversal of 434020210400000 is 4012020434.

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

It is not an unprimeable number, because it can be changed into a prime (434020210400003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20199189257 + ... + 20199210743.

Almost surely, 2^{434020210400000} is an apocalyptic number.

434020210400000 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 434020210400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618978628832256).

434020210400000 is an abundant number, since it is smaller than the sum of its proper divisors (803937047264512).

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

434020210400000 is an frugal number, since it uses more digits than its factorization.

434020210400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25142 (or 25108 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 434020210400000 its reverse (4012020434), we get a palindrome (434024222420434).

The spelling of 434020210400000 in words is "four hundred thirty-four trillion, twenty billion, two hundred ten million, four hundred thousand".