42517924928640 has 3584 divisors, whose sum is σ = 197682337382400. Its totient is φ = 8522505953280.

The previous prime is 42517924928581. The next prime is 42517924928641. The reversal of 42517924928640 is 4682942971524.

It is a happy number.

42517924928640 is a `hidden beast` number, since 4 + 2 + 5 + 1 + 79 + 249 + 286 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42517924928641) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1371545965425 + ... + 1371545965455.

Almost surely, 2^{42517924928640} is an apocalyptic number.

42517924928640 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 42517924928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98841168691200).

42517924928640 is an abundant number, since it is smaller than the sum of its proper divisors (155164412453760).

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

42517924928640 is an frugal number, since it uses more digits than its factorization.

42517924928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 42517924928640 in words is "forty-two trillion, five hundred seventeen billion, nine hundred twenty-four million, nine hundred twenty-eight thousand, six hundred forty".