4002001200 has 90 divisors (see below), whose sum is σ = 13888068324. Its totient is φ = 1067199360.

The previous prime is 4002001177. The next prime is 4002001231. The reversal of 4002001200 is 21002004.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 552234 + ... + 559433.

Almost surely, 2^4002001200 is an apocalyptic number.

4002001200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002001200 is an abundant number, since it is smaller than the sum of its proper divisors (9886067124).

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

4002001200 is a wasteful number, since it uses less digits than its factorization.

4002001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111691 (or 1111677 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 4002001200 is about 63261.3721002003. The cubic root of 4002001200 is about 1587.6657334152.

Adding to 4002001200 its reverse (21002004), we get a palindrome (4023003204).

The spelling of 4002001200 in words is "four billion, two million, one thousand, two hundred".