42973951426560 has 3648 divisors, whose sum is σ = 206908581095424. Its totient is φ = 8038970818560.

The previous prime is 42973951426507. The next prime is 42973951426597. The reversal of 42973951426560 is 6562415937924.

It is a happy number.

42973951426560 is a `hidden beast` number, since 4 + 2 + 9 + 7 + 39 + 5 + 14 + 26 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1868432670709 + ... + 1868432670731.

Almost surely, 2^{42973951426560} is an apocalyptic number.

42973951426560 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 42973951426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103454290547712).

42973951426560 is an abundant number, since it is smaller than the sum of its proper divisors (163934629668864).

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

42973951426560 is an equidigital number, since it uses as much as digits as its factorization.

42973951426560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 42973951426560 in words is "forty-two trillion, nine hundred seventy-three billion, nine hundred fifty-one million, four hundred twenty-six thousand, five hundred sixty".