4226135040 has 352 divisors, whose sum is σ = 15819216000. Its totient is φ = 1066991616.

The previous prime is 4226135027. The next prime is 4226135051. The reversal of 4226135040 is 405316224.

4226135040 is a `hidden beast` number, since 4 + 2 + 2 + 613 + 5 + 0 + 40 = 666.

4226135040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4226134995 and 4226135013.

It is a congruent number.

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, 2625756 + ... + 2627364.

Almost surely, 2^4226135040 is an apocalyptic number.

4226135040 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 4226135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7909608000).

4226135040 is an abundant number, since it is smaller than the sum of its proper divisors (11593080960).

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

4226135040 is a wasteful number, since it uses less digits than its factorization.

4226135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4226135040 is about 65008.7304906041. The cubic root of 4226135040 is about 1616.7683174591.

The spelling of 4226135040 in words is "four billion, two hundred twenty-six million, one hundred thirty-five thousand, forty".