4001002800 has 120 divisors (see below), whose sum is σ = 12910627536. Its totient is φ = 1059102720.

The previous prime is 4001002783. The next prime is 4001002861. The reversal of 4001002800 is 82001004.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4001002800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152232 + ... + 176568.

Almost surely, 2^4001002800 is an apocalyptic number.

4001002800 is a gapful number since it is divisible by the number (40) 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 4001002800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6455313768).

4001002800 is an abundant number, since it is smaller than the sum of its proper divisors (8909624736).

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

4001002800 is a wasteful number, since it uses less digits than its factorization.

4001002800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24495 (or 24484 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4001002800 is about 63253.4805366472. The cubic root of 4001002800 is about 1587.5336946989.

Adding to 4001002800 its reverse (82001004), we get a palindrome (4083003804).

The spelling of 4001002800 in words is "four billion, one million, two thousand, eight hundred".