4097534880 has 48 divisors (see below), whose sum is σ = 12907236384. Its totient is φ = 1092675840.

The previous prime is 4097534869. The next prime is 4097534899. The reversal of 4097534880 is 884357904.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4097534880² = 33579584185633228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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, 4267786 + ... + 4268745.

It is an arithmetic number, because the mean of its divisors is an integer number (268900758).

Almost surely, 2^4097534880 is an apocalyptic number.

4097534880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4097534880 is an abundant number, since it is smaller than the sum of its proper divisors (8809701504).

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

4097534880 is a wasteful number, since it uses less digits than its factorization.

4097534880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8536549 (or 8536541 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 4097534880 is about 64011.9901268505. The cubic root of 4097534880 is about 1600.1998292083.

It can be divided in two parts, 40975 and 34880, that added together give a triangular number (75855 = T₃₈₉).

The spelling of 4097534880 in words is "four billion, ninety-seven million, five hundred thirty-four thousand, eight hundred eighty".