42024510702720 has 4096 divisors, whose sum is σ = 196038033408000. Its totient is φ = 8272847831040.

The previous prime is 42024510702697. The next prime is 42024510702821. The reversal of 42024510702720 is 2720701542024.

42024510702720 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 4 + 510 + 70 + 2 + 72 + 0 = 666.

It is a super-3 number, since 3×42024510702720³ (a number of 42 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 188450720529 + ... + 188450720751.

It is an arithmetic number, because the mean of its divisors is an integer number (47860848000).

Almost surely, 2^{42024510702720} is an apocalyptic number.

42024510702720 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 42024510702720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98019016704000).

42024510702720 is an abundant number, since it is smaller than the sum of its proper divisors (154013522705280).

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

42024510702720 is a wasteful number, since it uses less digits than its factorization.

42024510702720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 42024510702720 in words is "forty-two trillion, twenty-four billion, five hundred ten million, seven hundred two thousand, seven hundred twenty".