4201470000 has 1200 divisors, whose sum is σ = 19740680960. Its totient is φ = 839808000.

The previous prime is 4201469983. The next prime is 4201470037. The reversal of 4201470000 is 741024.

It is a happy number.

4201470000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 221129991 + ... + 221130009.

Almost surely, 2^4201470000 is an apocalyptic number.

4201470000 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 4201470000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9870340480).

4201470000 is an abundant number, since it is smaller than the sum of its proper divisors (15539210960).

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

4201470000 is a wasteful number, since it uses less digits than its factorization.

4201470000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 4201470000 is about 64818.7472881110. The cubic root of 4201470000 is about 1613.6168574103.

The spelling of 4201470000 in words is "four billion, two hundred one million, four hundred seventy thousand".