42373872148608 has 3072 divisors, whose sum is σ = 182719660032000. Its totient is φ = 9246995251200.

The previous prime is 42373872148583. The next prime is 42373872148703. The reversal of 42373872148608 is 80684127837324.

42373872148608 is a `hidden beast` number, since 4 + 2 + 3 + 7 + 3 + 8 + 7 + 2 + 14 + 8 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 29777843385 + ... + 29777844807.

It is an arithmetic number, because the mean of its divisors is an integer number (59479056000).

Almost surely, 2^{42373872148608} is an apocalyptic number.

42373872148608 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 42373872148608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91359830016000).

42373872148608 is an abundant number, since it is smaller than the sum of its proper divisors (140345787883392).

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

42373872148608 is a wasteful number, since it uses less digits than its factorization.

42373872148608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 42373872148608 in words is "forty-two trillion, three hundred seventy-three billion, eight hundred seventy-two million, one hundred forty-eight thousand, six hundred eight".