42045798480 has 960 divisors, whose sum is σ = 167569274880. Its totient is φ = 8670412800.

The previous prime is 42045798469. The next prime is 42045798499. The reversal of 42045798480 is 8489754024.

42045798480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 433461792 + ... + 433461888.

It is an arithmetic number, because the mean of its divisors is an integer number (174551328).

Almost surely, 2^42045798480 is an apocalyptic number.

42045798480 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 42045798480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83784637440).

42045798480 is an abundant number, since it is smaller than the sum of its proper divisors (125523476400).

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

42045798480 is a wasteful number, since it uses less digits than its factorization.

42045798480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 42045798480 in words is "forty-two billion, forty-five million, seven hundred ninety-eight thousand, four hundred eighty".