4106245680 has 240 divisors, whose sum is σ = 14025173760. Its totient is φ = 1076544000.

The previous prime is 4106245679. The next prime is 4106245687. The reversal of 4106245680 is 865426014.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4106245680² = 33722507169037324800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4106245687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19460775 + ... + 19460985.

It is an arithmetic number, because the mean of its divisors is an integer number (58438224).

Almost surely, 2^4106245680 is an apocalyptic number.

4106245680 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 4106245680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7012586880).

4106245680 is an abundant number, since it is smaller than the sum of its proper divisors (9918928080).

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

4106245680 is a wasteful number, since it uses less digits than its factorization.

4106245680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 551 counting only the distinct ones).

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

The square root of 4106245680 is about 64079.9943820222. The cubic root of 4106245680 is about 1601.3329621158.

The spelling of 4106245680 in words is "four billion, one hundred six million, two hundred forty-five thousand, six hundred eighty".