4002246579200 has 264 divisors, whose sum is σ = 10639972257120. Its totient is φ = 1488015360000.

The previous prime is 4002246579193. The next prime is 4002246579203. The reversal of 4002246579200 is 29756422004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002246579203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25701575 + ... + 25856825.

Almost surely, 2^{4002246579200} is an apocalyptic number.

4002246579200 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 4002246579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5319986128560).

4002246579200 is an abundant number, since it is smaller than the sum of its proper divisors (6637725677920).

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

4002246579200 is a wasteful number, since it uses less digits than its factorization.

4002246579200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155353 (or 155330 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 4002246579200 in words is "four trillion, two billion, two hundred forty-six million, five hundred seventy-nine thousand, two hundred".