42674700870144 has 480 divisors, whose sum is σ = 147183364215360. Its totient is φ = 12172891078656.

The previous prime is 42674700870089. The next prime is 42674700870163. The reversal of 42674700870144 is 44107800747624.

42674700870144 is a `hidden beast` number, since 4 + 2 + 67 + 470 + 0 + 8 + 70 + 1 + 44 = 666.

It is a super-2 number, since 2×42674700870144² (a number of 28 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 417889939 + ... + 417992045.

It is an arithmetic number, because the mean of its divisors is an integer number (306632008782).

Almost surely, 2^{42674700870144} 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 42674700870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73591682107680).

42674700870144 is an abundant number, since it is smaller than the sum of its proper divisors (104508663345216).

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

42674700870144 is a wasteful number, since it uses less digits than its factorization.

42674700870144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102765 (or 102736 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 42674700870144 in words is "forty-two trillion, six hundred seventy-four billion, seven hundred million, eight hundred seventy thousand, one hundred forty-four".