42672281841000 has 512 divisors, whose sum is σ = 169737265152000. Its totient is φ = 9714794400000.

The previous prime is 42672281840999. The next prime is 42672281841017. The reversal of 42672281841000 is 14818227624.

42672281841000 is a `hidden beast` number, since 4 + 2 + 6 + 7 + 228 + 1 + 8 + 410 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46989241 + ... + 47888759.

It is an arithmetic number, because the mean of its divisors is an integer number (331518096000).

Almost surely, 2^{42672281841000} is an apocalyptic number.

42672281841000 is a gapful number since it is divisible by the number (40) 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 42672281841000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84868632576000).

42672281841000 is an abundant number, since it is smaller than the sum of its proper divisors (127064983311000).

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

42672281841000 is a wasteful number, since it uses less digits than its factorization.

42672281841000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899807 (or 899787 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 42672281841000 in words is "forty-two trillion, six hundred seventy-two billion, two hundred eighty-one million, eight hundred forty-one thousand".