4200431000 has 128 divisors (see below), whose sum is σ = 10127669760. Its totient is φ = 1629936000.

The previous prime is 4200430973. The next prime is 4200431003. The reversal of 4200431000 is 1340024.

It is a super-2 number, since 2×4200431000² = 35287241171522000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200431003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4756559 + ... + 4757441.

It is an arithmetic number, because the mean of its divisors is an integer number (79122420).

Almost surely, 2^4200431000 is an apocalyptic number.

4200431000 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 4200431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5063834880).

4200431000 is an abundant number, since it is smaller than the sum of its proper divisors (5927238760).

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

4200431000 is a wasteful number, since it uses less digits than its factorization.

4200431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4200431000 is about 64810.7321359665. The cubic root of 4200431000 is about 1613.4838336405.

Adding to 4200431000 its reverse (1340024), we get a palindrome (4201771024).

The spelling of 4200431000 in words is "four billion, two hundred million, four hundred thirty-one thousand".