4098937651200 has 2448 divisors, whose sum is σ = 18379970987520. Its totient is φ = 891813888000.

The previous prime is 4098937651187. The next prime is 4098937651217. The reversal of 4098937651200 is 21567398904.

4098937651200 is a `hidden beast` number, since 4 + 0 + 98 + 9 + 37 + 6 + 512 + 0 + 0 = 666.

It is a super-2 number, since 2×4098937651200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 143 ways as a sum of consecutive naturals, for example, 67195699170 + ... + 67195699230.

It is a 1-persistent number, because it is pandigital, but 2⋅4098937651200 = 8197875302400 is not.

Almost surely, 2^{4098937651200} is an apocalyptic number.

4098937651200 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 4098937651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9189985493760).

4098937651200 is an abundant number, since it is smaller than the sum of its proper divisors (14281033336320).

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

4098937651200 is an equidigital number, since it uses as much as digits as its factorization.

4098937651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 4098937651200 in words is "four trillion, ninety-eight billion, nine hundred thirty-seven million, six hundred fifty-one thousand, two hundred".