4013076042 has 64 divisors (see below), whose sum is σ = 9093168000. Its totient is φ = 1311531264.

The previous prime is 4013076037. The next prime is 4013076043. The reversal of 4013076042 is 2406703104.

4013076042 is a `hidden beast` number, since 40 + 13 + 0 + 7 + 604 + 2 = 666.

It is a super-2 number, since 2×4013076042² = 32209558637748771528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4013075997 and 4013076015.

It is not an unprimeable number, because it can be changed into a prime (4013076043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1378084 + ... + 1380992.

It is an arithmetic number, because the mean of its divisors is an integer number (142080750).

Almost surely, 2^4013076042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013076042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546584000).

4013076042 is an abundant number, since it is smaller than the sum of its proper divisors (5080091958).

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

4013076042 is a wasteful number, since it uses less digits than its factorization.

4013076042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4013076042 is about 63348.8440462807. The cubic root of 4013076042 is about 1589.1289141028.

Adding to 4013076042 its reverse (2406703104), we get a palindrome (6419779146).

The spelling of 4013076042 in words is "four billion, thirteen million, seventy-six thousand, forty-two".