42959217141720 has 1024 divisors, whose sum is σ = 169008021504000. Its totient is φ = 9597686630400.

The previous prime is 42959217141703. The next prime is 42959217141749. The reversal of 42959217141720 is 2714171295924.

42959217141720 is a `hidden beast` number, since 4 + 2 + 9 + 5 + 9 + 217 + 1 + 417 + 2 + 0 = 666.

42959217141720 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1939719687 + ... + 1939741833.

It is an arithmetic number, because the mean of its divisors is an integer number (165046896000).

Almost surely, 2^{42959217141720} is an apocalyptic number.

42959217141720 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 42959217141720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84504010752000).

42959217141720 is an abundant number, since it is smaller than the sum of its proper divisors (126048804362280).

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

42959217141720 is a wasteful number, since it uses less digits than its factorization.

42959217141720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22461 (or 22451 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 42959217141720 in words is "forty-two trillion, nine hundred fifty-nine billion, two hundred seventeen million, one hundred forty-one thousand, seven hundred twenty".