4135456626 has 96 divisors (see below), whose sum is σ = 10311546240. Its totient is φ = 1099574784.

The previous prime is 4135456613. The next prime is 4135456639. The reversal of 4135456626 is 6266545314.

It is an interprime number because it is at equal distance from previous prime (4135456613) and next prime (4135456639).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241930 + ... + 258458.

It is an arithmetic number, because the mean of its divisors is an integer number (107411940).

Almost surely, 2^4135456626 is an apocalyptic number.

4135456626 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4135456626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155773120).

4135456626 is an abundant number, since it is smaller than the sum of its proper divisors (6176089614).

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

4135456626 is a wasteful number, since it uses less digits than its factorization.

4135456626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16608 (or 16601 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The square root of 4135456626 is about 64307.5160925999. The cubic root of 4135456626 is about 1605.1211725172.

The spelling of 4135456626 in words is "four billion, one hundred thirty-five million, four hundred fifty-six thousand, six hundred twenty-six".