42957091742688 has 144 divisors (see below), whose sum is σ = 123464716633440. Its totient is φ = 14166116794368.

The previous prime is 42957091742687. The next prime is 42957091742689. The reversal of 42957091742688 is 88624719075924.

It is a happy number.

42957091742688 is a `hidden beast` number, since 4 + 2 + 9 + 570 + 9 + 1 + 7 + 42 + 6 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (42957091742687) and next prime (42957091742689).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42957091742681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74833981 + ... + 75405827.

It is an arithmetic number, because the mean of its divisors is an integer number (857393865510).

Almost surely, 2^{42957091742688} is an apocalyptic number.

42957091742688 is a gapful number since it is divisible by the number (48) 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 42957091742688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61732358316720).

42957091742688 is an abundant number, since it is smaller than the sum of its proper divisors (80507624890752).

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

42957091742688 is a wasteful number, since it uses less digits than its factorization.

42957091742688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574649 (or 574638 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 42957091742688 in words is "forty-two trillion, nine hundred fifty-seven billion, ninety-one million, seven hundred forty-two thousand, six hundred eighty-eight".