42381171204960 has 768 divisors, whose sum is σ = 165990222010368. Its totient is φ = 8867885875200.

The previous prime is 42381171204937. The next prime is 42381171204971. The reversal of 42381171204960 is 6940217118324.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 775148184 + ... + 775202856.

It is an arithmetic number, because the mean of its divisors is an integer number (216133101576).

Almost surely, 2^{42381171204960} is an apocalyptic number.

42381171204960 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 42381171204960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82995111005184).

42381171204960 is an abundant number, since it is smaller than the sum of its proper divisors (123609050805408).

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

42381171204960 is a wasteful number, since it uses less digits than its factorization.

42381171204960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55087 (or 55079 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 42381171204960 in words is "forty-two trillion, three hundred eighty-one billion, one hundred seventy-one million, two hundred four thousand, nine hundred sixty".