42459377688000 has 3360 divisors, whose sum is σ = 203620475298240. Its totient is φ = 8647111065600.

The previous prime is 42459377687981. The next prime is 42459377688001. The reversal of 42459377688000 is 88677395424.

42459377688000 is a `hidden beast` number, since 4 + 2 + 459 + 37 + 76 + 8 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42459377688001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 11970502227 + ... + 11970505773.

It is an arithmetic number, because the mean of its divisors is an integer number (60601331934).

Almost surely, 2^{42459377688000} is an apocalyptic number.

42459377688000 is a gapful number since it is divisible by the number (40) 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 42459377688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101810237649120).

42459377688000 is an abundant number, since it is smaller than the sum of its proper divisors (161161097610240).

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

42459377688000 is a wasteful number, since it uses less digits than its factorization.

42459377688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642 (or 3606 counting only the distinct ones).

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

The spelling of 42459377688000 in words is "forty-two trillion, four hundred fifty-nine billion, three hundred seventy-seven million, six hundred eighty-eight thousand".