42936081408 has 396 divisors, whose sum is σ = 137748115960. Its totient is φ = 12870696960.

The previous prime is 42936081401. The next prime is 42936081413. The reversal of 42936081408 is 80418063924.

It is a happy number.

42936081408 is a `hidden beast` number, since 4 + 29 + 3 + 608 + 14 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42936081401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 155003766 + ... + 155004042.

Almost surely, 2^42936081408 is an apocalyptic number.

42936081408 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 42936081408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68874057980).

42936081408 is an abundant number, since it is smaller than the sum of its proper divisors (94812034552).

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

42936081408 is a wasteful number, since it uses less digits than its factorization.

42936081408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 42936081408 in words is "forty-two billion, nine hundred thirty-six million, eighty-one thousand, four hundred eight".