4100136000 has 448 divisors, whose sum is σ = 14435815680. Its totient is φ = 1023590400.

The previous prime is 4100135983. The next prime is 4100136017. The reversal of 4100136000 is 6310014.

It is an interprime number because it is at equal distance from previous prime (4100135983) and next prime (4100136017).

It is a super-2 number, since 2×4100136000² = 33622230436992000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29927932 + ... + 29928068.

Almost surely, 2^4100136000 is an apocalyptic number.

4100136000 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 4100136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7217907840).

4100136000 is an abundant number, since it is smaller than the sum of its proper divisors (10335679680).

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

4100136000 is a wasteful number, since it uses less digits than its factorization.

4100136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 4100136000 is about 64032.3043471028. The cubic root of 4100136000 is about 1600.5383605013.

Adding to 4100136000 its reverse (6310014), we get a palindrome (4106446014).

The spelling of 4100136000 in words is "four billion, one hundred million, one hundred thirty-six thousand".