4122635440 has 160 divisors (see below), whose sum is σ = 12336353280. Its totient is φ = 1243468800.

The previous prime is 4122635401. The next prime is 4122635453. The reversal of 4122635440 is 445362214.

It is a super-2 number, since 2×4122635440² = 33992245942287987200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180166 + ... + 201754.

It is an arithmetic number, because the mean of its divisors is an integer number (77102208).

Almost surely, 2^4122635440 is an apocalyptic number.

4122635440 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 4122635440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168176640).

4122635440 is an abundant number, since it is smaller than the sum of its proper divisors (8213717840).

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

4122635440 is a wasteful number, since it uses less digits than its factorization.

4122635440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21651 (or 21645 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 4122635440 is about 64207.7521799354. The cubic root of 4122635440 is about 1603.4606657239.

Adding to 4122635440 its reverse (445362214), we get a palindrome (4567997654).

The spelling of 4122635440 in words is "four billion, one hundred twenty-two million, six hundred thirty-five thousand, four hundred forty".