3020426640000 has 2880 divisors, whose sum is σ = 14181257170080. Its totient is φ = 609638400000.

The previous prime is 3020426639941. The next prime is 3020426640019. The reversal of 3020426640000 is 466240203.

3020426640000 is a `hidden beast` number, since 30 + 204 + 26 + 6 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 16687439910 + ... + 16687440090.

Almost surely, 2^{3020426640000} is an apocalyptic number.

3020426640000 is a gapful number since it is divisible by the number (30) 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 3020426640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7090628585040).

3020426640000 is an abundant number, since it is smaller than the sum of its proper divisors (11160830530080).

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

3020426640000 is a wasteful number, since it uses less digits than its factorization.

3020426640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 3020426640000 in words is "three trillion, twenty billion, four hundred twenty-six million, six hundred forty thousand".