4024657990080 has 2016 divisors, whose sum is σ = 18058600594944. Its totient is φ = 835203612672.

The previous prime is 4024657990061. The next prime is 4024657990103. The reversal of 4024657990080 is 800997564204.

4024657990080 is a `hidden beast` number, since 40 + 24 + 6 + 579 + 9 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×4024657990080² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 4024657989999 and 4024657990026.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6163335034 + ... + 6163335686.

It is an arithmetic number, because the mean of its divisors is an integer number (8957639184).

Almost surely, 2^{4024657990080} is an apocalyptic number.

4024657990080 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 4024657990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9029300297472).

4024657990080 is an abundant number, since it is smaller than the sum of its proper divisors (14033942604864).

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

4024657990080 is a wasteful number, since it uses less digits than its factorization.

4024657990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 4024657990080 in words is "four trillion, twenty-four billion, six hundred fifty-seven million, nine hundred ninety thousand, eighty".