42474905688 has 384 divisors, whose sum is σ = 126328780800. Its totient is φ = 11844403200.

The previous prime is 42474905677. The next prime is 42474905699. The reversal of 42474905688 is 88650947424.

It is an interprime number because it is at equal distance from previous prime (42474905677) and next prime (42474905699).

It is a super-2 number, since 2×42474905688² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 95 ways as a sum of consecutive naturals, for example, 151156108 + ... + 151156388.

It is an arithmetic number, because the mean of its divisors is an integer number (328981200).

Almost surely, 2^42474905688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42474905688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63164390400).

42474905688 is an abundant number, since it is smaller than the sum of its proper divisors (83853875112).

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

42474905688 is a wasteful number, since it uses less digits than its factorization.

42474905688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 42474905688 in words is "forty-two billion, four hundred seventy-four million, nine hundred five thousand, six hundred eighty-eight".