42046758198144 has 640 divisors, whose sum is σ = 145384929043200. Its totient is φ = 11815162454016.

The previous prime is 42046758198143. The next prime is 42046758198169. The reversal of 42046758198144 is 44189185764024.

42046758198144 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 6 + 7 + 581 + 9 + 8 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42046758198143) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1079403372 + ... + 1079442324.

It is an arithmetic number, because the mean of its divisors is an integer number (227163951630).

Almost surely, 2^{42046758198144} 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 42046758198144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72692464521600).

42046758198144 is an abundant number, since it is smaller than the sum of its proper divisors (103338170845056).

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

42046758198144 is a wasteful number, since it uses less digits than its factorization.

42046758198144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39232 (or 39211 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 42046758198144 in words is "forty-two trillion, forty-six billion, seven hundred fifty-eight million, one hundred ninety-eight thousand, one hundred forty-four".