42587864605440 has 2880 divisors, whose sum is σ = 197610055695360. Its totient is φ = 8532986757120.

The previous prime is 42587864605373. The next prime is 42587864605459. The reversal of 42587864605440 is 4450646878524.

It is a happy number.

42587864605440 is a `hidden beast` number, since 4 + 2 + 5 + 8 + 7 + 86 + 4 + 6 + 0 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 56258737542 + ... + 56258738298.

It is an arithmetic number, because the mean of its divisors is an integer number (68614602672).

Almost surely, 2^{42587864605440} is an apocalyptic number.

42587864605440 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 42587864605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98805027847680).

42587864605440 is an abundant number, since it is smaller than the sum of its proper divisors (155022191089920).

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

42587864605440 is an frugal number, since it uses more digits than its factorization.

42587864605440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 206438400, while the sum is 63.

The spelling of 42587864605440 in words is "forty-two trillion, five hundred eighty-seven billion, eight hundred sixty-four million, six hundred five thousand, four hundred forty".