4001906304 has 128 divisors (see below), whose sum is σ = 12885048000. Its totient is φ = 1212687360.

The previous prime is 4001906303. The next prime is 4001906317. The reversal of 4001906304 is 4036091004.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (4001906303) 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, 14619 + ... + 90650.

Almost surely, 2^4001906304 is an apocalyptic number.

4001906304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001906304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6442524000).

4001906304 is an abundant number, since it is smaller than the sum of its proper divisors (8883141696).

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

4001906304 is a wasteful number, since it uses less digits than its factorization.

4001906304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105303 (or 105285 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4001906304 is about 63260.6220645988. The cubic root of 4001906304 is about 1587.6531843336.

Adding to 4001906304 its reverse (4036091004), we get a palindrome (8037997308).

The spelling of 4001906304 in words is "four billion, one million, nine hundred six thousand, three hundred four".