4101662520 has 96 divisors (see below), whose sum is σ = 13462506720. Its totient is φ = 1082937600.

The previous prime is 4101662497. The next prime is 4101662533. The reversal of 4101662520 is 252661014.

4101662520 is a `hidden beast` number, since 4 + 1 + 0 + 16 + 625 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20044 + ... + 92763.

It is an arithmetic number, because the mean of its divisors is an integer number (140234445).

Almost surely, 2^4101662520 is an apocalyptic number.

4101662520 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 4101662520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6731253360).

4101662520 is an abundant number, since it is smaller than the sum of its proper divisors (9360844200).

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

4101662520 is a wasteful number, since it uses less digits than its factorization.

4101662520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112925 (or 112918 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4101662520 is about 64044.2231586893. The cubic root of 4101662520 is about 1600.7369677886.

It can be divided in two parts, 410166 and 2520, that added together give a triangular number (412686 = T₉₀₈).

The spelling of 4101662520 in words is "four billion, one hundred one million, six hundred sixty-two thousand, five hundred twenty".