24042870064080 has 960 divisors, whose sum is σ = 98111577600000. Its totient is φ = 5301110707200.

The previous prime is 24042870064061. The next prime is 24042870064091. The reversal of 24042870064080 is 8046007824042.

24042870064080 is a `hidden beast` number, since 2 + 40 + 428 + 70 + 0 + 6 + 40 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4809533421 + ... + 4809538419.

It is an arithmetic number, because the mean of its divisors is an integer number (102199560000).

Almost surely, 2^{24042870064080} is an apocalyptic number.

24042870064080 is a gapful number since it is divisible by the number (20) 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 24042870064080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49055788800000).

24042870064080 is an abundant number, since it is smaller than the sum of its proper divisors (74068707535920).

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

24042870064080 is a wasteful number, since it uses less digits than its factorization.

24042870064080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5421 (or 5378 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 24042870064080 in words is "twenty-four trillion, forty-two billion, eight hundred seventy million, sixty-four thousand, eighty".