4022772474240 has 1024 divisors, whose sum is σ = 15603356160000. Its totient is φ = 973550223360.

The previous prime is 4022772474233. The next prime is 4022772474283. The reversal of 4022772474240 is 424742772204.

It is a super-2 number, since 2×4022772474240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7435808370 + ... + 7435808910.

It is an arithmetic number, because the mean of its divisors is an integer number (15237652500).

Almost surely, 2^{4022772474240} is an apocalyptic number.

4022772474240 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 4022772474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7801678080000).

4022772474240 is an abundant number, since it is smaller than the sum of its proper divisors (11580583685760).

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

4022772474240 is a wasteful number, since it uses less digits than its factorization.

4022772474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 1404928, while the sum is 45.

The spelling of 4022772474240 in words is "four trillion, twenty-two billion, seven hundred seventy-two million, four hundred seventy-four thousand, two hundred forty".