42459477984 has 864 divisors, whose sum is σ = 165814242048. Its totient is φ = 9975398400.

The previous prime is 42459477979. The next prime is 42459478021. The reversal of 42459477984 is 48977495424.

42459477984 is a `hidden beast` number, since 4 + 24 + 59 + 477 + 98 + 4 = 666.

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

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 143 ways as a sum of consecutive naturals, for example, 633723519 + ... + 633723585.

It is an arithmetic number, because the mean of its divisors is an integer number (191914632).

Almost surely, 2^42459477984 is an apocalyptic number.

42459477984 is a gapful number since it is divisible by the number (44) 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 42459477984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82907121024).

42459477984 is an abundant number, since it is smaller than the sum of its proper divisors (123354764064).

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

42459477984 is a wasteful number, since it uses less digits than its factorization.

42459477984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 148 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 42459477984 in words is "forty-two billion, four hundred fifty-nine million, four hundred seventy-seven thousand, nine hundred eighty-four".