42974426880 has 1080 divisors, whose sum is σ = 195390906480. Its totient is φ = 8918138880.

The previous prime is 42974426851. The next prime is 42974426893. The reversal of 42974426880 is 8862447924.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55883136 + ... + 55883904.

It is an arithmetic number, because the mean of its divisors is an integer number (180917506).

Almost surely, 2^42974426880 is an apocalyptic number.

42974426880 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 42974426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97695453240).

42974426880 is an abundant number, since it is smaller than the sum of its proper divisors (152416479600).

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

42974426880 is a wasteful number, since it uses less digits than its factorization.

42974426880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 42974426880 in words is "forty-two billion, nine hundred seventy-four million, four hundred twenty-six thousand, eight hundred eighty".