42681300021612 has 144 divisors (see below), whose sum is σ = 124478204078592. Its totient is φ = 12078799246080.

The previous prime is 42681300021527. The next prime is 42681300021649. The reversal of 42681300021612 is 21612000318624.

It is a happy number.

42681300021612 is a `hidden beast` number, since 4 + 2 + 6 + 8 + 1 + 30 + 0 + 0 + 2 + 1 + 612 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 10117912 + ... + 13701632.

It is an arithmetic number, because the mean of its divisors is an integer number (864431972768).

Almost surely, 2^{42681300021612} is an apocalyptic number.

42681300021612 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42681300021612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62239102039296).

42681300021612 is an abundant number, since it is smaller than the sum of its proper divisors (81796904056980).

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

42681300021612 is a wasteful number, since it uses less digits than its factorization.

42681300021612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584188 (or 3584183 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 42681300021612 in words is "forty-two trillion, six hundred eighty-one billion, three hundred million, twenty-one thousand, six hundred twelve".