4002428013 has 16 divisors (see below), whose sum is σ = 5412210816. Its totient is φ = 2630499840.

The previous prime is 4002427967. The next prime is 4002428029. The reversal of 4002428013 is 3108242004.

4002428013 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4002428013 - 2¹³ = 4002419821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002421013) 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, 875253 + ... + 879813.

It is an arithmetic number, because the mean of its divisors is an integer number (338263176).

Almost surely, 2^4002428013 is an apocalyptic number.

It is an amenable number.

4002428013 is a deficient number, since it is larger than the sum of its proper divisors (1409782803).

4002428013 is a wasteful number, since it uses less digits than its factorization.

4002428013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8644.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4002428013 is about 63264.7454195463. The cubic root of 4002428013 is about 1587.7221728690.

The spelling of 4002428013 in words is "four billion, two million, four hundred twenty-eight thousand, thirteen".