42012036512064 has 84 divisors (see below), whose sum is σ = 123674509573524. Its totient is φ = 13625525348352.

The previous prime is 42012036512057. The next prime is 42012036512143. The reversal of 42012036512064 is 46021563021024.

42012036512064 is a `hidden beast` number, since 4 + 201 + 20 + 365 + 12 + 0 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34385557766400 + 7626478745664 = 5863920^2 + 2761608^2 .

It is a super-2 number, since 2×42012036512064² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 985621437 + ... + 985664060.

It is an arithmetic number, because the mean of its divisors is an integer number (1472315590161).

Almost surely, 2^{42012036512064} is an apocalyptic number.

It is an amenable number.

42012036512064 is an abundant number, since it is smaller than the sum of its proper divisors (81662473061460).

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

42012036512064 is a wasteful number, since it uses less digits than its factorization.

42012036512064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971285552 (or 1971285539 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 42012036512064 its reverse (46021563021024), we get a palindrome (88033599533088).

The spelling of 42012036512064 in words is "forty-two trillion, twelve billion, thirty-six million, five hundred twelve thousand, sixty-four".