42791172480 has 768 divisors, whose sum is σ = 182847974400. Its totient is φ = 9350111232.

The previous prime is 42791172433. The next prime is 42791172527. The reversal of 42791172480 is 8427119724.

42791172480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42791172433) and next prime (42791172527).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25037866 + ... + 25039574.

It is an arithmetic number, because the mean of its divisors is an integer number (238083300).

Almost surely, 2^42791172480 is an apocalyptic number.

42791172480 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 42791172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91423987200).

42791172480 is an abundant number, since it is smaller than the sum of its proper divisors (140056801920).

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

42791172480 is a wasteful number, since it uses less digits than its factorization.

42791172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 42791172480 in words is "forty-two billion, seven hundred ninety-one million, one hundred seventy-two thousand, four hundred eighty".