4005036464 has 40 divisors (see below), whose sum is σ = 9116364432. Its totient is φ = 1680433920.

The previous prime is 4005036463. The next prime is 4005036481. The reversal of 4005036464 is 4646305004.

4005036464 is nontrivially palindromic in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 4005036464.

It is not an unprimeable number, because it can be changed into a prime (4005036461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 872939 + ... + 877514.

Almost surely, 2^4005036464 is an apocalyptic number.

4005036464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4005036464 is an abundant number, since it is smaller than the sum of its proper divisors (5111327968).

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

4005036464 is a wasteful number, since it uses less digits than its factorization.

4005036464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750485 (or 1750479 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 4005036464 is about 63285.3574217607. The cubic root of 4005036464 is about 1588.0670132265.

The spelling of 4005036464 in words is "four billion, five million, thirty-six thousand, four hundred sixty-four".