413004001200 has 120 divisors (see below), whose sum is σ = 1511988012288. Its totient is φ = 94400912640.

The previous prime is 413004001199. The next prime is 413004001231. The reversal of 413004001200 is 2100400314.

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

It is a super-3 number, since 3×413004001200³ (a number of 36 digits) contains 333 as substring.

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 413004001200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24575172 + ... + 24591971.

Almost surely, 2^413004001200 is an apocalyptic number.

413004001200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413004001200 is an abundant number, since it is smaller than the sum of its proper divisors (1098984011088).

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

413004001200 is a wasteful number, since it uses less digits than its factorization.

413004001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49167171 (or 49167160 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 413004001200 its reverse (2100400314), we get a palindrome (415104401514).

The spelling of 413004001200 in words is "four hundred thirteen billion, four million, one thousand, two hundred".