42172740480 has 512 divisors, whose sum is σ = 161379993600. Its totient is φ = 9254338560.

The previous prime is 42172740479. The next prime is 42172740553. The reversal of 42172740480 is 8404727124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8059465 + ... + 8064695.

It is an arithmetic number, because the mean of its divisors is an integer number (315195300).

Almost surely, 2^42172740480 is an apocalyptic number.

42172740480 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 42172740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80689996800).

42172740480 is an abundant number, since it is smaller than the sum of its proper divisors (119207253120).

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

42172740480 is a wasteful number, since it uses less digits than its factorization.

42172740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5302 (or 5290 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 39.

The spelling of 42172740480 in words is "forty-two billion, one hundred seventy-two million, seven hundred forty thousand, four hundred eighty".