4207003920 has 400 divisors, whose sum is σ = 16830887040. Its totient is φ = 954021888.

The previous prime is 4207003919. The next prime is 4207003979. The reversal of 4207003920 is 293007024.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7393396 + ... + 7393964.

Almost surely, 2^4207003920 is an apocalyptic number.

4207003920 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 4207003920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8415443520).

4207003920 is an abundant number, since it is smaller than the sum of its proper divisors (12623883120).

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

4207003920 is a wasteful number, since it uses less digits than its factorization.

4207003920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4207003920 is about 64861.4208910042. The cubic root of 4207003920 is about 1614.3249991596.

The spelling of 4207003920 in words is "four billion, two hundred seven million, three thousand, nine hundred twenty".