4157895306240 has 2112 divisors, whose sum is σ = 16920079368192. Its totient is φ = 936404582400.

The previous prime is 4157895306223. The next prime is 4157895306247. The reversal of 4157895306240 is 426035987514.

It is a happy number.

4157895306240 is a `hidden beast` number, since 4 + 1 + 5 + 7 + 8 + 9 + 5 + 3 + 0 + 624 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (4157895306247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32739333057 + ... + 32739333183.

It is an arithmetic number, because the mean of its divisors is an integer number (8011401216).

It is a 3-persistent number, because k⋅4157895306240 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{4157895306240} is an apocalyptic number.

4157895306240 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 4157895306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8460039684096).

4157895306240 is an abundant number, since it is smaller than the sum of its proper divisors (12762184061952).

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

4157895306240 is a wasteful number, since it uses less digits than its factorization.

4157895306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 4157895306240 in words is "four trillion, one hundred fifty-seven billion, eight hundred ninety-five million, three hundred six thousand, two hundred forty".