4006924200000 has 1008 divisors, whose sum is σ = 15405939581760. Its totient is φ = 1031304960000.

The previous prime is 4006924199911. The next prime is 4006924200031. The reversal of 4006924200000 is 24296004.

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

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 143 ways as a sum of consecutive naturals, for example, 1409398579 + ... + 1409401421.

It is an arithmetic number, because the mean of its divisors is an integer number (15283670220).

Almost surely, 2^{4006924200000} is an apocalyptic number.

4006924200000 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 4006924200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7702969790880).

4006924200000 is an abundant number, since it is smaller than the sum of its proper divisors (11399015381760).

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

4006924200000 is an frugal number, since it uses more digits than its factorization.

4006924200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 4006924200000 its reverse (24296004), we get a palindrome (4006948496004).

The spelling of 4006924200000 in words is "four trillion, six billion, nine hundred twenty-four million, two hundred thousand".