4101355008 has 120 divisors (see below), whose sum is σ = 12031658496. Its totient is φ = 1344614400.

The previous prime is 4101355003. The next prime is 4101355051. The reversal of 4101355008 is 8005531014.

4101355008 is a `hidden beast` number, since 4 + 101 + 3 + 550 + 0 + 8 = 666.

It is a super-2 number, since 2×4101355008² = 33642225803293360128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101355003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 273793 + ... + 288383.

Almost surely, 2^4101355008 is an apocalyptic number.

4101355008 is a gapful number since it is divisible by the number (48) 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 4101355008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6015829248).

4101355008 is an abundant number, since it is smaller than the sum of its proper divisors (7930303488).

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

4101355008 is a wasteful number, since it uses less digits than its factorization.

4101355008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14676 (or 14657 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 4101355008 is about 64041.8223350960. The cubic root of 4101355008 is about 1600.6969630242.

The spelling of 4101355008 in words is "four billion, one hundred one million, three hundred fifty-five thousand, eight".