42497280000 has 1440 divisors, whose sum is σ = 191584673280. Its totient is φ = 8847360000.

The previous prime is 42497279999. The next prime is 42497280011. The reversal of 42497280000 is 8279424.

It is a tau number, because it is divible by the number of its divisors (1440).

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

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, 1370879985 + ... + 1370880015.

It is an arithmetic number, because the mean of its divisors is an integer number (133044912).

Almost surely, 2^42497280000 is an apocalyptic number.

42497280000 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 42497280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95792336640).

42497280000 is an abundant number, since it is smaller than the sum of its proper divisors (149087393280).

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

42497280000 is a wasteful number, since it uses less digits than its factorization.

42497280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 42497280000 in words is "forty-two billion, four hundred ninety-seven million, two hundred eighty thousand".