42951809925120 has 256 divisors, whose sum is σ = 137763268853760. Its totient is φ = 11427184640000.

The previous prime is 42951809925041. The next prime is 42951809925127. The reversal of 42951809925120 is 2152990815924.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42951809925127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 211743745 + ... + 211946495.

It is an arithmetic number, because the mean of its divisors is an integer number (538137768960).

Almost surely, 2^{42951809925120} is an apocalyptic number.

42951809925120 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 42951809925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68881634426880).

42951809925120 is an abundant number, since it is smaller than the sum of its proper divisors (94811458928640).

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

42951809925120 is an equidigital number, since it uses as much as digits as its factorization.

42951809925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203220 (or 203192 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 57.

The spelling of 42951809925120 in words is "forty-two trillion, nine hundred fifty-one billion, eight hundred nine million, nine hundred twenty-five thousand, one hundred twenty".