4422151504000 has 512 divisors, whose sum is σ = 11804005324800. Its totient is φ = 1642636800000.

The previous prime is 4422151503953. The next prime is 4422151504009. The reversal of 4422151504000 is 4051512244.

It is a super-3 number, since 3×4422151504000³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4422151504000.

It is not an unprimeable number, because it can be changed into a prime (4422151504009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4554223515 + ... + 4554224485.

It is an arithmetic number, because the mean of its divisors is an integer number (23054697900).

Almost surely, 2^{4422151504000} is an apocalyptic number.

4422151504000 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 4422151504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5902002662400).

4422151504000 is an abundant number, since it is smaller than the sum of its proper divisors (7381853820800).

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

4422151504000 is a wasteful number, since it uses less digits than its factorization.

4422151504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The spelling of 4422151504000 in words is "four trillion, four hundred twenty-two billion, one hundred fifty-one million, five hundred four thousand".