4007940 has 48 divisors (see below), whose sum is σ = 11401152. Its totient is φ = 1051776.

The previous prime is 4007933. The next prime is 4007953. The reversal of 4007940 is 497004.

It is a self number, because there is not a number n which added to its sum of digits gives 4007940.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3522 + ... + 4518.

It is an arithmetic number, because the mean of its divisors is an integer number (237524).

Almost surely, 2^4007940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4007940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5700576).

4007940 is an abundant number, since it is smaller than the sum of its proper divisors (7393212).

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

4007940 is a wasteful number, since it uses less digits than its factorization.

4007940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 4007940 is about 2001.9840159202. The cubic root of 4007940 is about 158.8450688128.

The spelling of 4007940 in words is "four million, seven thousand, nine hundred forty".