4000824401 has 8 divisors (see below), whose sum is σ = 4771169664. Its totient is φ = 3280178880.

The previous prime is 4000824367. The next prime is 4000824407. The reversal of 4000824401 is 1044280004.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4000824401 - 2²⁶ = 3933715537 is a prime.

It is a super-4 number, since 4×4000824401⁴ (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4000824407) 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, 12424760 + ... + 12425081.

It is an arithmetic number, because the mean of its divisors is an integer number (596396208).

Almost surely, 2^4000824401 is an apocalyptic number.

It is an amenable number.

4000824401 is a deficient number, since it is larger than the sum of its proper divisors (770345263).

4000824401 is a wasteful number, since it uses less digits than its factorization.

4000824401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24849871.

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 4000824401 is about 63252.0703297528. The cubic root of 4000824401 is about 1587.5100990616.

The spelling of 4000824401 in words is "four billion, eight hundred twenty-four thousand, four hundred one".