4022125424640 has 1404 divisors, whose sum is σ = 15472374313032. Its totient is φ = 1002175856640.

The previous prime is 4022125424531. The next prime is 4022125424641. The reversal of 4022125424640 is 464245212204.

4022125424640 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 1 + 2 + 5 + 4 + 2 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4022125424595 and 4022125424604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022125424641) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 129745981425 + ... + 129745981455.

Almost surely, 2^{4022125424640} is an apocalyptic number.

4022125424640 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 4022125424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7736187156516).

4022125424640 is an abundant number, since it is smaller than the sum of its proper divisors (11450248888392).

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

4022125424640 is an frugal number, since it uses more digits than its factorization.

4022125424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 4022125424640 in words is "four trillion, twenty-two billion, one hundred twenty-five million, four hundred twenty-four thousand, six hundred forty".