4200642400 has 36 divisors (see below), whose sum is σ = 10254820212. Its totient is φ = 1680256640.

The previous prime is 4200642371. The next prime is 4200642401. The reversal of 4200642400 is 42460024.

4200642400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200642401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2624602 + ... + 2626201.

It is an arithmetic number, because the mean of its divisors is an integer number (284856117).

Almost surely, 2^4200642400 is an apocalyptic number.

4200642400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4200642400 is an abundant number, since it is smaller than the sum of its proper divisors (6054177812).

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

4200642400 is a wasteful number, since it uses less digits than its factorization.

4200642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5250823 (or 5250810 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4200642400 is about 64812.3630181773. The cubic root of 4200642400 is about 1613.5109010820.

The spelling of 4200642400 in words is "four billion, two hundred million, six hundred forty-two thousand, four hundred".