42906047697072 has 480 divisors, whose sum is σ = 147488560128000. Its totient is φ = 11371264704000.

The previous prime is 42906047697059. The next prime is 42906047697083. The reversal of 42906047697072 is 27079674060924.

42906047697072 is a `hidden beast` number, since 4 + 2 + 9 + 0 + 6 + 0 + 476 + 97 + 0 + 72 = 666.

42906047697072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 283546329 + ... + 283697607.

It is an arithmetic number, because the mean of its divisors is an integer number (307267833600).

Almost surely, 2^{42906047697072} is an apocalyptic number.

42906047697072 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 42906047697072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73744280064000).

42906047697072 is an abundant number, since it is smaller than the sum of its proper divisors (104582512430928).

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

42906047697072 is a wasteful number, since it uses less digits than its factorization.

42906047697072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151629 (or 151620 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 42906047697072 in words is "forty-two trillion, nine hundred six billion, forty-seven million, six hundred ninety-seven thousand, seventy-two".