42641364480 has 640 divisors, whose sum is σ = 164230488576. Its totient is φ = 9299558400.

The previous prime is 42641364473. The next prime is 42641364499. The reversal of 42641364480 is 8446314624.

42641364480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

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, 45027367 + ... + 45028313.

Almost surely, 2^42641364480 is an apocalyptic number.

42641364480 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 42641364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82115244288).

42641364480 is an abundant number, since it is smaller than the sum of its proper divisors (121589124096).

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

42641364480 is a wasteful number, since it uses less digits than its factorization.

42641364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 42641364480 in words is "forty-two billion, six hundred forty-one million, three hundred sixty-four thousand, four hundred eighty".