4007404512 has 72 divisors (see below), whose sum is σ = 11402170416. Its totient is φ = 1335085056.

The previous prime is 4007404487. The next prime is 4007404519. The reversal of 4007404512 is 2154047004.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007404519) 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 11 ways as a sum of consecutive naturals, for example, 1039773 + ... + 1043619.

It is an arithmetic number, because the mean of its divisors is an integer number (158363478).

Almost surely, 2^4007404512 is an apocalyptic number.

It is an amenable number.

4007404512 is an abundant number, since it is smaller than the sum of its proper divisors (7394765904).

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

4007404512 is a wasteful number, since it uses less digits than its factorization.

4007404512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7480 (or 7469 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 4007404512 is about 63304.0639453740. The cubic root of 4007404512 is about 1588.3799423775.

The spelling of 4007404512 in words is "four billion, seven million, four hundred four thousand, five hundred twelve".