42791661015120 has 120 divisors (see below), whose sum is σ = 143782400853000. Its totient is φ = 11405254376448.

The previous prime is 42791661015113. The next prime is 42791661015121. The reversal of 42791661015120 is 2151016619724.

42791661015120 is a `hidden beast` number, since 4 + 2 + 7 + 9 + 1 + 6 + 610 + 1 + 5 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 597906283536 + 42193754731584 = 773244^2 + 6495672^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×42791661015120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42791661015121) 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 23 ways as a sum of consecutive naturals, for example, 13843735 + ... + 16650294.

It is an arithmetic number, because the mean of its divisors is an integer number (1198186673775).

Almost surely, 2^{42791661015120} is an apocalyptic number.

42791661015120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42791661015120 is an abundant number, since it is smaller than the sum of its proper divisors (100990739837880).

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

42791661015120 is a wasteful number, since it uses less digits than its factorization.

42791661015120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30495997 (or 30495988 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 42791661015120 in words is "forty-two trillion, seven hundred ninety-one billion, six hundred sixty-one million, fifteen thousand, one hundred twenty".