42073958051466 has 128 divisors (see below), whose sum is σ = 99160690406400. Its totient is φ = 11765489448960.

The previous prime is 42073958051423. The next prime is 42073958051479. The reversal of 42073958051466 is 66415085937024.

It is a happy number.

It is a super-2 number, since 2×42073958051466² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6961050 + ... + 11515386.

It is an arithmetic number, because the mean of its divisors is an integer number (774692893800).

It is a 1-persistent number, because it is pandigital, but 2⋅42073958051466 = 84147916102932 is not.

Almost surely, 2^{42073958051466} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42073958051466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49580345203200).

42073958051466 is an abundant number, since it is smaller than the sum of its proper divisors (57086732354934).

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

42073958051466 is a wasteful number, since it uses less digits than its factorization.

42073958051466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4554564.

The product of its (nonzero) digits is 43545600, while the sum is 60.

The spelling of 42073958051466 in words is "forty-two trillion, seventy-three billion, nine hundred fifty-eight million, fifty-one thousand, four hundred sixty-six".