4007949640 has 64 divisors (see below), whose sum is σ = 9734515200. Its totient is φ = 1480588032.

The previous prime is 4007949593. The next prime is 4007949643. The reversal of 4007949640 is 469497004.

It is a super-2 number, since 2×4007949640² = 32127320633552259200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4007949643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48432 + ... + 101791.

It is an arithmetic number, because the mean of its divisors is an integer number (152101800).

Almost surely, 2^4007949640 is an apocalyptic number.

4007949640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4007949640 is an abundant number, since it is smaller than the sum of its proper divisors (5726565560).

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

4007949640 is a wasteful number, since it uses less digits than its factorization.

4007949640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150286 (or 150282 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 4007949640 is about 63308.3694309054. The cubic root of 4007949640 is about 1588.4519616541.

The spelling of 4007949640 in words is "four billion, seven million, nine hundred forty-nine thousand, six hundred forty".