4222953504000 has 1728 divisors, whose sum is σ = 19307761095168. Its totient is φ = 860700672000.

The previous prime is 4222953503981. The next prime is 4222953504013. The reversal of 4222953504000 is 4053592224.

4222953504000 is a `hidden beast` number, since 42 + 22 + 95 + 3 + 504 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1175326204 + ... + 1175329796.

It is an arithmetic number, because the mean of its divisors is an integer number (11173472856).

Almost surely, 2^{4222953504000} is an apocalyptic number.

4222953504000 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 4222953504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9653880547584).

4222953504000 is an abundant number, since it is smaller than the sum of its proper divisors (15084807591168).

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

4222953504000 is a wasteful number, since it uses less digits than its factorization.

4222953504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701 (or 3674 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 4222953504000 in words is "four trillion, two hundred twenty-two billion, nine hundred fifty-three million, five hundred four thousand".