4206274099200 has 1152 divisors, whose sum is σ = 16174214784000. Its totient is φ = 1070353612800.

The previous prime is 4206274099199. The next prime is 4206274099219. The reversal of 4206274099200 is 29904726024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2663884011 + ... + 2663885589.

It is an arithmetic number, because the mean of its divisors is an integer number (14040117000).

Almost surely, 2^{4206274099200} is an apocalyptic number.

4206274099200 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 4206274099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8087107392000).

4206274099200 is an abundant number, since it is smaller than the sum of its proper divisors (11967940684800).

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

4206274099200 is a wasteful number, since it uses less digits than its factorization.

4206274099200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 4206274099200 in words is "four trillion, two hundred six billion, two hundred seventy-four million, ninety-nine thousand, two hundred".