4011422026752 has 528 divisors, whose sum is σ = 14046303404640. Its totient is φ = 1127308492800.

The previous prime is 4011422026747. The next prime is 4011422026757. The reversal of 4011422026752 is 2576202241104.

4011422026752 is a `hidden beast` number, since 401 + 1 + 4 + 220 + 26 + 7 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4011422026747) and next prime (4011422026757).

It is a super-2 number, since 2×4011422026752² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4011422026757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82615602 + ... + 82664142.

Almost surely, 2^{4011422026752} is an apocalyptic number.

4011422026752 is a gapful number since it is divisible by the number (42) 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 4011422026752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7023151702320).

4011422026752 is an abundant number, since it is smaller than the sum of its proper divisors (10034881377888).

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

4011422026752 is a wasteful number, since it uses less digits than its factorization.

4011422026752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48645 (or 48614 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 4011422026752 its reverse (2576202241104), we get a palindrome (6587624267856).

The spelling of 4011422026752 in words is "four trillion, eleven billion, four hundred twenty-two million, twenty-six thousand, seven hundred fifty-two".