42161316480 has 768 divisors, whose sum is σ = 164563176960. Its totient is φ = 10271784960.

The previous prime is 42161316451. The next prime is 42161316523. The reversal of 42161316480 is 8461316124.

42161316480 is a `hidden beast` number, since 4 + 2 + 1 + 6 + 1 + 3 + 1 + 648 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97821865 + ... + 97822295.

It is an arithmetic number, because the mean of its divisors is an integer number (214274970).

Almost surely, 2^42161316480 is an apocalyptic number.

42161316480 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 42161316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82281588480).

42161316480 is an abundant number, since it is smaller than the sum of its proper divisors (122401860480).

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

42161316480 is a wasteful number, since it uses less digits than its factorization.

42161316480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 42161316480 in words is "forty-two billion, one hundred sixty-one million, three hundred sixteen thousand, four hundred eighty".