42632781408 has 192 divisors, whose sum is σ = 142258475520. Its totient is φ = 12168009216.

The previous prime is 42632781391. The next prime is 42632781431. The reversal of 42632781408 is 80418723624.

It is a happy number.

42632781408 is a `hidden beast` number, since 4 + 2 + 632 + 7 + 8 + 1 + 4 + 0 + 8 = 666.

42632781408 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 31 ways as a sum of consecutive naturals, for example, 6788766 + ... + 6795042.

It is an arithmetic number, because the mean of its divisors is an integer number (740929560).

Almost surely, 2^42632781408 is an apocalyptic number.

42632781408 is a gapful number since it is divisible by the number (48) 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 42632781408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71129237760).

42632781408 is an abundant number, since it is smaller than the sum of its proper divisors (99625694112).

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

42632781408 is a wasteful number, since it uses less digits than its factorization.

42632781408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7426 (or 7412 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 42632781408 in words is "forty-two billion, six hundred thirty-two million, seven hundred eighty-one thousand, four hundred eight".