4201434000 has 240 divisors, whose sum is σ = 15034756464. Its totient is φ = 1092864000.

The previous prime is 4201433969. The next prime is 4201434001. The reversal of 4201434000 is 4341024.

It can be written as a sum of positive squares in 8 ways, for example, as 3341302416 + 860131584 = 57804^2 + 29328^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4201434001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 735154 + ... + 740846.

Almost surely, 2^4201434000 is an apocalyptic number.

4201434000 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 4201434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7517378232).

4201434000 is an abundant number, since it is smaller than the sum of its proper divisors (10833322464).

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

4201434000 is a wasteful number, since it uses less digits than its factorization.

4201434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5763 (or 5744 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4201434000 is about 64818.4695900790. The cubic root of 4201434000 is about 1613.6122486763.

Adding to 4201434000 its reverse (4341024), we get a palindrome (4205775024).

The spelling of 4201434000 in words is "four billion, two hundred one million, four hundred thirty-four thousand".