4158475057440 has 672 divisors, whose sum is σ = 16086987213696. Its totient is φ = 1006983290880.

The previous prime is 4158475057403. The next prime is 4158475057519. The reversal of 4158475057440 is 447505748514.

It is a happy number.

4158475057440 is a `hidden beast` number, since 4 + 1 + 5 + 84 + 75 + 0 + 57 + 440 = 666.

It is a super-2 number, since 2×4158475057440² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 1992560077 + ... + 1992562163.

It is an arithmetic number, because the mean of its divisors is an integer number (23938969068).

Almost surely, 2^{4158475057440} is an apocalyptic number.

4158475057440 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 4158475057440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043493606848).

4158475057440 is an abundant number, since it is smaller than the sum of its proper divisors (11928512156256).

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

4158475057440 is a wasteful number, since it uses less digits than its factorization.

4158475057440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3684 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 12544000, while the sum is 54.

The spelling of 4158475057440 in words is "four trillion, one hundred fifty-eight billion, four hundred seventy-five million, fifty-seven thousand, four hundred forty".