42464378880 has 1224 divisors, whose sum is σ = 195801199776. Its totient is φ = 8304721920.

The previous prime is 42464378861. The next prime is 42464378911. The reversal of 42464378880 is 8887346424.

It is a happy number.

42464378880 is a `hidden beast` number, since 424 + 64 + 3 + 7 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1224).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2497904632 + ... + 2497904648.

Almost surely, 2^42464378880 is an apocalyptic number.

42464378880 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 42464378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97900599888).

42464378880 is an abundant number, since it is smaller than the sum of its proper divisors (153336820896).

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

42464378880 is a wasteful number, since it uses less digits than its factorization.

42464378880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 42464378880 in words is "forty-two billion, four hundred sixty-four million, three hundred seventy-eight thousand, eight hundred eighty".