4007429472 has 96 divisors (see below), whose sum is σ = 11078242560. Its totient is φ = 1265932800.

The previous prime is 4007429471. The next prime is 4007429477. The reversal of 4007429472 is 2749247004.

4007429472 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4007429472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007429471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232347 + ... + 248997.

It is an arithmetic number, because the mean of its divisors is an integer number (115398360).

Almost surely, 2^4007429472 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 4007429472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5539121280).

4007429472 is an abundant number, since it is smaller than the sum of its proper divisors (7070813088).

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

4007429472 is a wasteful number, since it uses less digits than its factorization.

4007429472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16796 (or 16788 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 4007429472 is about 63304.2610888082. The cubic root of 4007429472 is about 1588.3832400964.

The spelling of 4007429472 in words is "four billion, seven million, four hundred twenty-nine thousand, four hundred seventy-two".