4002269308800 has 768 divisors, whose sum is σ = 16110306017280. Its totient is φ = 852443136000.

The previous prime is 4002269308759. The next prime is 4002269308813. The reversal of 4002269308800 is 88039622004.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115365057 + ... + 115399743.

It is an arithmetic number, because the mean of its divisors is an integer number (20976960960).

Almost surely, 2^{4002269308800} is an apocalyptic number.

4002269308800 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 4002269308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8055153008640).

4002269308800 is an abundant number, since it is smaller than the sum of its proper divisors (12108036708480).

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

4002269308800 is a wasteful number, since it uses less digits than its factorization.

4002269308800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34839 (or 34822 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 4002269308800 in words is "four trillion, two billion, two hundred sixty-nine million, three hundred eight thousand, eight hundred".