4200625920 has 288 divisors, whose sum is σ = 13869112320. Its totient is φ = 1083064320.

The previous prime is 4200625909. The next prime is 4200625937. The reversal of 4200625920 is 295260024.

It is a super-3 number, since 3×4200625920³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18504847 + ... + 18505073.

It is an arithmetic number, because the mean of its divisors is an integer number (48156640).

Almost surely, 2^4200625920 is an apocalyptic number.

4200625920 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 4200625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6934556160).

4200625920 is an abundant number, since it is smaller than the sum of its proper divisors (9668486400).

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

4200625920 is a wasteful number, since it uses less digits than its factorization.

4200625920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4200625920 is about 64812.2358818148. The cubic root of 4200625920 is about 1613.5087910321.

Adding to 4200625920 its reverse (295260024), we get a palindrome (4495885944).

The spelling of 4200625920 in words is "four billion, two hundred million, six hundred twenty-five thousand, nine hundred twenty".