3020400980480 has 640 divisors, whose sum is σ = 8330316825600. Its totient is φ = 1041853317120.

The previous prime is 3020400980449. The next prime is 3020400980561. The reversal of 3020400980480 is 840890040203.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8097589574 + ... + 8097589946.

It is an arithmetic number, because the mean of its divisors is an integer number (13016120040).

Almost surely, 2^{3020400980480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3020400980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4165158412800).

3020400980480 is an abundant number, since it is smaller than the sum of its proper divisors (5309915845120).

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

3020400980480 is a wasteful number, since it uses less digits than its factorization.

3020400980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 3020400980480 in words is "three trillion, twenty billion, four hundred million, nine hundred eighty thousand, four hundred eighty".