42378126159150 has 288 divisors, whose sum is σ = 117870716291328. Its totient is φ = 10908383961600.

The previous prime is 42378126159119. The next prime is 42378126159181. The reversal of 42378126159150 is 5195162187324.

42378126159150 is a `hidden beast` number, since 4 + 2 + 3 + 7 + 8 + 1 + 2 + 615 + 9 + 15 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42378126159119) and next prime (42378126159181).

It is a super-2 number, since 2×42378126159150² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2255706057 + ... + 2255724843.

It is an arithmetic number, because the mean of its divisors is an integer number (409273320456).

It is a 1-persistent number, because it is pandigital, but 2⋅42378126159150 = 84756252318300 is not.

Almost surely, 2^{42378126159150} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42378126159150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58935358145664).

42378126159150 is an abundant number, since it is smaller than the sum of its proper divisors (75492590132178).

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

42378126159150 is a wasteful number, since it uses less digits than its factorization.

42378126159150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20136 (or 20128 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 42378126159150 in words is "forty-two trillion, three hundred seventy-eight billion, one hundred twenty-six million, one hundred fifty-nine thousand, one hundred fifty".