42857551376640 has 5184 divisors, whose sum is σ = 215983106906112. Its totient is φ = 7591034880000.

The previous prime is 42857551376587. The next prime is 42857551376663. The reversal of 42857551376640 is 4667315575824.

42857551376640 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 7 + 5 + 513 + 76 + 6 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 170747216515 + ... + 170747216765.

It is an arithmetic number, because the mean of its divisors is an integer number (41663407968).

Almost surely, 2^{42857551376640} is an apocalyptic number.

42857551376640 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 42857551376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107991553453056).

42857551376640 is an abundant number, since it is smaller than the sum of its proper divisors (173125555529472).

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

42857551376640 is a wasteful number, since it uses less digits than its factorization.

42857551376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 63.

The spelling of 42857551376640 in words is "forty-two trillion, eight hundred fifty-seven billion, five hundred fifty-one million, three hundred seventy-six thousand, six hundred forty".