42514329876480 has 1920 divisors, whose sum is σ = 191392673472000. Its totient is φ = 8768760053760.

The previous prime is 42514329876457. The next prime is 42514329876511. The reversal of 42514329876480 is 8467892341524.

42514329876480 is a `hidden beast` number, since 4 + 2 + 5 + 1 + 432 + 98 + 76 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8877493926 + ... + 8877498714.

It is an arithmetic number, because the mean of its divisors is an integer number (99683684100).

It is a 1-persistent number, because it is pandigital, but 2⋅42514329876480 = 85028659752960 is not.

Almost surely, 2^{42514329876480} is an apocalyptic number.

42514329876480 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 42514329876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95696336736000).

42514329876480 is an abundant number, since it is smaller than the sum of its proper divisors (148878343595520).

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

42514329876480 is a wasteful number, since it uses less digits than its factorization.

42514329876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4985 (or 4956 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 42514329876480 in words is "forty-two trillion, five hundred fourteen billion, three hundred twenty-nine million, eight hundred seventy-six thousand, four hundred eighty".