4002826464 has 384 divisors, whose sum is σ = 14676480000. Its totient is φ = 1054674432.

The previous prime is 4002826439. The next prime is 4002826489. The reversal of 4002826464 is 4646282004.

It is a happy number.

4002826464 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 8 + 2 + 646 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4002826439) and next prime (4002826489).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3852057 + ... + 3853095.

It is an arithmetic number, because the mean of its divisors is an integer number (38220000).

Almost surely, 2^4002826464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002826464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7338240000).

4002826464 is an abundant number, since it is smaller than the sum of its proper divisors (10673653536).

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

4002826464 is a wasteful number, since it uses less digits than its factorization.

4002826464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4002826464 is about 63267.8944173109. The cubic root of 4002826464 is about 1587.7748582634.

The spelling of 4002826464 in words is "four billion, two million, eight hundred twenty-six thousand, four hundred sixty-four".