4402070208000 has 480 divisors, whose sum is σ = 15938842563072. Its totient is φ = 1167710208000.

The previous prime is 4402070207989. The next prime is 4402070208007. The reversal of 4402070208000 is 8020702044.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×4402070208000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4402070208007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109995994 + ... + 110036006.

Almost surely, 2^{4402070208000} is an apocalyptic number.

4402070208000 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 4402070208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7969421281536).

4402070208000 is an abundant number, since it is smaller than the sum of its proper divisors (11536772355072).

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

4402070208000 is a wasteful number, since it uses less digits than its factorization.

4402070208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40243 (or 40214 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The spelling of 4402070208000 in words is "four trillion, four hundred two billion, seventy million, two hundred eight thousand".