42486960313776 has 320 divisors, whose sum is σ = 124670420582400. Its totient is φ = 12351923712000.

The previous prime is 42486960313717. The next prime is 42486960313921. The reversal of 42486960313776 is 67731306968424.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 63 ways as a sum of consecutive naturals, for example, 879641275 + ... + 879689573.

It is an arithmetic number, because the mean of its divisors is an integer number (389595064320).

Almost surely, 2^{42486960313776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42486960313776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62335210291200).

42486960313776 is an abundant number, since it is smaller than the sum of its proper divisors (82183460268624).

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

42486960313776 is a wasteful number, since it uses less digits than its factorization.

42486960313776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48816 (or 48810 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 66.

The spelling of 42486960313776 in words is "forty-two trillion, four hundred eighty-six billion, nine hundred sixty million, three hundred thirteen thousand, seven hundred seventy-six".