4009557156 has 288 divisors, whose sum is σ = 11583129600. Its totient is φ = 1073318400.

The previous prime is 4009557119. The next prime is 4009557187. The reversal of 4009557156 is 6517559004.

It is a super-3 number, since 3×4009557156³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45051160 + ... + 45051248.

It is an arithmetic number, because the mean of its divisors is an integer number (40219200).

Almost surely, 2^4009557156 is an apocalyptic number.

4009557156 is a gapful number since it is divisible by the number (46) 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 4009557156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791564800).

4009557156 is an abundant number, since it is smaller than the sum of its proper divisors (7573572444).

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

4009557156 is a wasteful number, since it uses less digits than its factorization.

4009557156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 42.

The square root of 4009557156 is about 63321.0640782355. The cubic root of 4009557156 is about 1588.6642997045.

It can be divided in two parts, 4009 and 557156, that added together give a palindrome (561165).

The spelling of 4009557156 in words is "four billion, nine million, five hundred fifty-seven thousand, one hundred fifty-six".