4072397683200 has 2160 divisors, whose sum is σ = 17786956061952. Its totient is φ = 817496064000.

The previous prime is 4072397683187. The next prime is 4072397683229. The reversal of 4072397683200 is 23867932704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7057881312 + ... + 7057881888.

Almost surely, 2^{4072397683200} is an apocalyptic number.

4072397683200 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 4072397683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8893478030976).

4072397683200 is an abundant number, since it is smaller than the sum of its proper divisors (13714558378752).

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

4072397683200 is a wasteful number, since it uses less digits than its factorization.

4072397683200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The spelling of 4072397683200 in words is "four trillion, seventy-two billion, three hundred ninety-seven million, six hundred eighty-three thousand, two hundred".