4022266248000 has 4704 divisors, whose sum is σ = 20543033002752. Its totient is φ = 756946944000.

The previous prime is 4022266247981. The next prime is 4022266248017. The reversal of 4022266248000 is 8426622204.

4022266248000 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 26 + 624 + 8 + 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 671 ways as a sum of consecutive naturals, for example, 75891815974 + ... + 75891816026.

Almost surely, 2^{4022266248000} is an apocalyptic number.

4022266248000 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 4022266248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10271516501376).

4022266248000 is an abundant number, since it is smaller than the sum of its proper divisors (16520766754752).

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

4022266248000 is a wasteful number, since it uses less digits than its factorization.

4022266248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 4022266248000 in words is "four trillion, twenty-two billion, two hundred sixty-six million, two hundred forty-eight thousand".