42381447056640 has 720 divisors, whose sum is σ = 156756246366720. Its totient is φ = 10922072555520.

The previous prime is 42381447056639. The next prime is 42381447056681. The reversal of 42381447056640 is 4665074418324.

42381447056640 is a `hidden beast` number, since 4 + 2 + 3 + 8 + 1 + 4 + 4 + 70 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×42381447056640² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 2433049851 + ... + 2433067269.

Almost surely, 2^{42381447056640} is an apocalyptic number.

42381447056640 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 42381447056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78378123183360).

42381447056640 is an abundant number, since it is smaller than the sum of its proper divisors (114374799310080).

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

42381447056640 is a wasteful number, since it uses less digits than its factorization.

42381447056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18240 (or 18217 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 42381447056640 in words is "forty-two trillion, three hundred eighty-one billion, four hundred forty-seven million, fifty-six thousand, six hundred forty".