42558414495904 has 216 divisors, whose sum is σ = 93015191269728. Its totient is φ = 19129000746240.

The previous prime is 42558414495901. The next prime is 42558414495907. The reversal of 42558414495904 is 40959441485524.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42558414495901) and next prime (42558414495907).

It is a super-2 number, since 2×42558414495904² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42558414495901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4285405819 + ... + 4285415749.

It is an arithmetic number, because the mean of its divisors is an integer number (430625885508).

Almost surely, 2^{42558414495904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42558414495904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46507595634864).

42558414495904 is an abundant number, since it is smaller than the sum of its proper divisors (50456776773824).

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

42558414495904 is a wasteful number, since it uses less digits than its factorization.

42558414495904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10256 (or 10102 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 64.

The spelling of 42558414495904 in words is "forty-two trillion, five hundred fifty-eight billion, four hundred fourteen million, four hundred ninety-five thousand, nine hundred four".