42137745408 has 576 divisors, whose sum is σ = 140698827360. Its totient is φ = 12032409600.

The previous prime is 42137745373. The next prime is 42137745427. The reversal of 42137745408 is 80454773124.

42137745408 is a `hidden beast` number, since 4 + 2 + 1 + 37 + 74 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307574716 + ... + 307574852.

Almost surely, 2^42137745408 is an apocalyptic number.

42137745408 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 42137745408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70349413680).

42137745408 is an abundant number, since it is smaller than the sum of its proper divisors (98561081952).

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

42137745408 is a wasteful number, since it uses less digits than its factorization.

42137745408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 42137745408 in words is "forty-two billion, one hundred thirty-seven million, seven hundred forty-five thousand, four hundred eight".