42667981356672 has 192 divisors, whose sum is σ = 143185495128000. Its totient is φ = 12190851703296.

The previous prime is 42667981356601. The next prime is 42667981356677. The reversal of 42667981356672 is 27665318976624.

It is a happy number.

42667981356672 is a `hidden beast` number, since 4 + 2 + 66 + 79 + 81 + 356 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 42667981356672.

It is not an unprimeable number, because it can be changed into a prime (42667981356677) 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, 53596378 + ... + 54386649.

It is an arithmetic number, because the mean of its divisors is an integer number (745757787125).

Almost surely, 2^{42667981356672} is an apocalyptic number.

42667981356672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42667981356672 is an abundant number, since it is smaller than the sum of its proper divisors (100517513771328).

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

42667981356672 is a wasteful number, since it uses less digits than its factorization.

42667981356672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107983068 (or 107983039 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 42667981356672 in words is "forty-two trillion, six hundred sixty-seven billion, nine hundred eighty-one million, three hundred fifty-six thousand, six hundred seventy-two".