42946282194960 has 640 divisors, whose sum is σ = 144140431564800. Its totient is φ = 10542703288320.

The previous prime is 42946282194911. The next prime is 42946282194989. The reversal of 42946282194960 is 6949128264924.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42946282194891 and 42946282194900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51804923826 + ... + 51804924654.

It is an arithmetic number, because the mean of its divisors is an integer number (225219424320).

Almost surely, 2^{42946282194960} is an apocalyptic number.

42946282194960 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 42946282194960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72070215782400).

42946282194960 is an abundant number, since it is smaller than the sum of its proper divisors (101194149369840).

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

42946282194960 is a wasteful number, since it uses less digits than its factorization.

42946282194960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 66.

The spelling of 42946282194960 in words is "forty-two trillion, nine hundred forty-six billion, two hundred eighty-two million, one hundred ninety-four thousand, nine hundred sixty".