42352587987840 has 320 divisors, whose sum is σ = 162883259652960. Its totient is φ = 10425252261888.

The previous prime is 42352587987793. The next prime is 42352587987877. The reversal of 42352587987840 is 4878978525324.

42352587987840 is a `hidden beast` number, since 4 + 2 + 3 + 525 + 8 + 7 + 98 + 7 + 8 + 4 + 0 = 666.

42352587987840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30748644 + ... + 32096483.

Almost surely, 2^{42352587987840} is an apocalyptic number.

42352587987840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42352587987840 is an abundant number, since it is smaller than the sum of its proper divisors (120530671665120).

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

42352587987840 is a wasteful number, since it uses less digits than its factorization.

42352587987840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62845171 (or 62845150 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 72.

The spelling of 42352587987840 in words is "forty-two trillion, three hundred fifty-two billion, five hundred eighty-seven million, nine hundred eighty-seven thousand, eight hundred forty".