4206373920 has 288 divisors, whose sum is σ = 17370557568. Its totient is φ = 904863744.

The previous prime is 4206373901. The next prime is 4206373939. The reversal of 4206373920 is 293736024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4206373901) and next prime (4206373939).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159087 + ... + 183633.

It is an arithmetic number, because the mean of its divisors is an integer number (60314436).

Almost surely, 2^4206373920 is an apocalyptic number.

4206373920 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 4206373920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8685278784).

4206373920 is an abundant number, since it is smaller than the sum of its proper divisors (13164183648).

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

4206373920 is a wasteful number, since it uses less digits than its factorization.

4206373920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24592 (or 24581 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 4206373920 is about 64856.5642013204. The cubic root of 4206373920 is about 1614.2444132652.

The spelling of 4206373920 in words is "four billion, two hundred six million, three hundred seventy-three thousand, nine hundred twenty".