42541218720 has 864 divisors, whose sum is σ = 196465965696. Its totient is φ = 8156712960.

The previous prime is 42541218719. The next prime is 42541218763. The reversal of 42541218720 is 2781214524.

42541218720 is a `hidden beast` number, since 42 + 5 + 412 + 187 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15854499 + ... + 15857181.

It is an arithmetic number, because the mean of its divisors is an integer number (227391164).

Almost surely, 2^42541218720 is an apocalyptic number.

42541218720 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 42541218720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98232982848).

42541218720 is an abundant number, since it is smaller than the sum of its proper divisors (153924746976).

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

42541218720 is a wasteful number, since it uses less digits than its factorization.

42541218720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 42541218720 in words is "forty-two billion, five hundred forty-one million, two hundred eighteen thousand, seven hundred twenty".