42658578144 has 144 divisors (see below), whose sum is σ = 149305115232. Its totient is φ = 11250607104.

The previous prime is 42658578143. The next prime is 42658578161. The reversal of 42658578144 is 44187585624.

42658578144 is a `hidden beast` number, since 4 + 2 + 6 + 58 + 578 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×42658578144³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42658578143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 787639 + ... + 840054.

It is an arithmetic number, because the mean of its divisors is an integer number (1036841078).

Almost surely, 2^42658578144 is an apocalyptic number.

It is an amenable number.

42658578144 is an abundant number, since it is smaller than the sum of its proper divisors (106646537088).

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

42658578144 is a wasteful number, since it uses less digits than its factorization.

42658578144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627729 (or 1627718 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 54.

The spelling of 42658578144 in words is "forty-two billion, six hundred fifty-eight million, five hundred seventy-eight thousand, one hundred forty-four".