4101667520 has 56 divisors (see below), whose sum is σ = 10341644544. Its totient is φ = 1544155136.

The previous prime is 4101667517. The next prime is 4101667529. The reversal of 4101667520 is 257661014.

It is a super-4 number, since 4×4101667520⁴ (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4101667529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 371552 + ... + 382431.

It is an arithmetic number, because the mean of its divisors is an integer number (184672224).

Almost surely, 2^4101667520 is an apocalyptic number.

4101667520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4101667520 is an abundant number, since it is smaller than the sum of its proper divisors (6239977024).

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

4101667520 is a wasteful number, since it uses less digits than its factorization.

4101667520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754017 (or 754007 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 4101667520 is about 64044.2621942044. The cubic root of 4101667520 is about 1600.7376182307.

The spelling of 4101667520 in words is "four billion, one hundred one million, six hundred sixty-seven thousand, five hundred twenty".