42133776480 has 720 divisors, whose sum is σ = 163504202400. Its totient is φ = 10182205440.

The previous prime is 42133776469. The next prime is 42133776499. The reversal of 42133776480 is 8467733124.

42133776480 is a `hidden beast` number, since 4 + 213 + 377 + 64 + 8 + 0 = 666.

42133776480 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 (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 211727421 + ... + 211727619.

It is an arithmetic number, because the mean of its divisors is an integer number (227089170).

Almost surely, 2^42133776480 is an apocalyptic number.

42133776480 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 42133776480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81752101200).

42133776480 is an abundant number, since it is smaller than the sum of its proper divisors (121370425920).

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

42133776480 is a wasteful number, since it uses less digits than its factorization.

42133776480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 42133776480 in words is "forty-two billion, one hundred thirty-three million, seven hundred seventy-six thousand, four hundred eighty".