4001491800 has 192 divisors, whose sum is σ = 13816749600. Its totient is φ = 1064448000.

The previous prime is 4001491757. The next prime is 4001491817. The reversal of 4001491800 is 81941004.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3331200 + ... + 3332400.

Almost surely, 2^4001491800 is an apocalyptic number.

4001491800 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 4001491800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6908374800).

4001491800 is an abundant number, since it is smaller than the sum of its proper divisors (9815257800).

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

4001491800 is a wasteful number, since it uses less digits than its factorization.

4001491800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 4001491800 is about 63257.3458184897. The cubic root of 4001491800 is about 1587.5983678480.

The spelling of 4001491800 in words is "four billion, one million, four hundred ninety-one thousand, eight hundred".