4166520840 has 192 divisors, whose sum is σ = 14170291200. Its totient is φ = 1059734016.

The previous prime is 4166520833. The next prime is 4166520851. The reversal of 4166520840 is 480256614.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4166520795 and 4166520804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5025546 + ... + 5026374.

It is an arithmetic number, because the mean of its divisors is an integer number (73803600).

Almost surely, 2^4166520840 is an apocalyptic number.

4166520840 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 4166520840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7085145600).

4166520840 is an abundant number, since it is smaller than the sum of its proper divisors (10003770360).

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

4166520840 is a wasteful number, since it uses less digits than its factorization.

4166520840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4166520840 is about 64548.5928584040. The cubic root of 4166520840 is about 1609.1302015772.

It can be divided in two parts, 416 and 6520840, that added together give a palindrome (6521256).

The spelling of 4166520840 in words is "four billion, one hundred sixty-six million, five hundred twenty thousand, eight hundred forty".