4100682240 has 320 divisors, whose sum is σ = 14931544320. Its totient is φ = 1066106880.

The previous prime is 4100682233. The next prime is 4100682241. The reversal of 4100682240 is 422860014.

4100682240 is a `hidden beast` number, since 410 + 0 + 6 + 8 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4100682241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2833197 + ... + 2834643.

It is an arithmetic number, because the mean of its divisors is an integer number (46661076).

Almost surely, 2^4100682240 is an apocalyptic number.

4100682240 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 4100682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7465772160).

4100682240 is an abundant number, since it is smaller than the sum of its proper divisors (10830862080).

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

4100682240 is a wasteful number, since it uses less digits than its factorization.

4100682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4100682240 is about 64036.5695520927. The cubic root of 4100682240 is about 1600.6094345057.

The spelling of 4100682240 in words is "four billion, one hundred million, six hundred eighty-two thousand, two hundred forty".