42841877944320 has 6144 divisors, whose sum is σ = 211341312000000. Its totient is φ = 8146719866880.

The previous prime is 42841877944297. The next prime is 42841877944363. The reversal of 42841877944320 is 2344977814824.

42841877944320 is a `hidden beast` number, since 4 + 2 + 8 + 4 + 187 + 7 + 9 + 443 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6144).

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 polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 726133524451 + ... + 726133524509.

It is an arithmetic number, because the mean of its divisors is an integer number (34398000000).

Almost surely, 2^{42841877944320} is an apocalyptic number.

42841877944320 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 42841877944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105670656000000).

42841877944320 is an abundant number, since it is smaller than the sum of its proper divisors (168499434055680).

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

42841877944320 is a wasteful number, since it uses less digits than its factorization.

42841877944320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 42841877944320 in words is "forty-two trillion, eight hundred forty-one billion, eight hundred seventy-seven million, nine hundred forty-four thousand, three hundred twenty".