4106568972240 has 1280 divisors, whose sum is σ = 17552887971840. Its totient is φ = 861064888320.

The previous prime is 4106568972221. The next prime is 4106568972293. The reversal of 4106568972240 is 422798656014.

4106568972240 is a `hidden beast` number, since 4 + 1 + 0 + 6 + 568 + 9 + 72 + 2 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3757153134 + ... + 3757154226.

It is an arithmetic number, because the mean of its divisors is an integer number (13713193728).

Almost surely, 2^{4106568972240} is an apocalyptic number.

4106568972240 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 4106568972240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8776443985920).

4106568972240 is an abundant number, since it is smaller than the sum of its proper divisors (13446318999600).

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

4106568972240 is a wasteful number, since it uses less digits than its factorization.

4106568972240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4106568972240 in words is "four trillion, one hundred six billion, five hundred sixty-eight million, nine hundred seventy-two thousand, two hundred forty".