4124921680 has 80 divisors (see below), whose sum is σ = 10474829568. Its totient is φ = 1498176000.

The previous prime is 4124921627. The next prime is 4124921681. The reversal of 4124921680 is 861294214.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4124921680² = 34029957732268044800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4124921681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 896185 + ... + 900775.

Almost surely, 2^4124921680 is an apocalyptic number.

4124921680 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 4124921680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5237414784).

4124921680 is an abundant number, since it is smaller than the sum of its proper divisors (6349907888).

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

4124921680 is a wasteful number, since it uses less digits than its factorization.

4124921680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5636 (or 5630 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 4124921680 is about 64225.5531700584. The cubic root of 4124921680 is about 1603.7570148695.

The spelling of 4124921680 in words is "four billion, one hundred twenty-four million, nine hundred twenty-one thousand, six hundred eighty".