4242073006080 has 4992 divisors, whose sum is σ = 21638708582400. Its totient is φ = 770527199232.

The previous prime is 4242073006037. The next prime is 4242073006123. The reversal of 4242073006080 is 806003702424.

4242073006080 is a `hidden beast` number, since 4 + 2 + 42 + 0 + 7 + 3 + 0 + 0 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4242073006037) and next prime (4242073006123).

It is a tau number, because it is divible by the number of its divisors (4992).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 146278379506 + ... + 146278379534.

It is an arithmetic number, because the mean of its divisors is an integer number (4334677200).

Almost surely, 2^{4242073006080} is an apocalyptic number.

4242073006080 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 4242073006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10819354291200).

4242073006080 is an abundant number, since it is smaller than the sum of its proper divisors (17396635576320).

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

4242073006080 is a wasteful number, since it uses less digits than its factorization.

4242073006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 4242073006080 in words is "four trillion, two hundred forty-two billion, seventy-three million, six thousand, eighty".