4106252910240 has 192 divisors, whose sum is σ = 15477415027200. Its totient is φ = 1010769933312.

The previous prime is 4106252910217. The next prime is 4106252910241. The reversal of 4106252910240 is 420192526014.

It is a happy number.

4106252910240 is a `hidden beast` number, since 4 + 1 + 0 + 625 + 2 + 9 + 1 + 0 + 24 + 0 = 666.

It is a super-2 number, since 2×4106252910240² (a number of 26 digits) contains 22 as substring.

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 = 4106252910195 and 4106252910204.

It is not an unprimeable number, because it can be changed into a prime (4106252910241) 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, 36502360 + ... + 36614679.

It is an arithmetic number, because the mean of its divisors is an integer number (80611536600).

Almost surely, 2^{4106252910240} is an apocalyptic number.

4106252910240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4106252910240 is an abundant number, since it is smaller than the sum of its proper divisors (11371162116960).

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

4106252910240 is a wasteful number, since it uses less digits than its factorization.

4106252910240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73117076 (or 73117062 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 4106252910240 in words is "four trillion, one hundred six billion, two hundred fifty-two million, nine hundred ten thousand, two hundred forty".