4122353664000 has 3264 divisors, whose sum is σ = 19291570841088. Its totient is φ = 830472192000.

The previous prime is 4122353663951. The next prime is 4122353664007. The reversal of 4122353664000 is 4663532214.

4122353664000 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 3 + 5 + 3 + 6 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3264).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122353664007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 179232767989 + ... + 179232768011.

Almost surely, 2^{4122353664000} is an apocalyptic number.

4122353664000 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 4122353664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9645785420544).

4122353664000 is an abundant number, since it is smaller than the sum of its proper divisors (15169217177088).

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

4122353664000 is a wasteful number, since it uses less digits than its factorization.

4122353664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 4122353664000 in words is "four trillion, one hundred twenty-two billion, three hundred fifty-three million, six hundred sixty-four thousand".