3030415441920 has 504 divisors, whose sum is σ = 10906184789136. Its totient is φ = 807983382528.

The previous prime is 3030415441883. The next prime is 3030415441927. The reversal of 3030415441920 is 291445140303.

3030415441920 is a `hidden beast` number, since 30 + 30 + 41 + 544 + 19 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3030415441927) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 477754269 + ... + 477760611.

It is an arithmetic number, because the mean of its divisors is an integer number (21639255534).

Almost surely, 2^{3030415441920} is an apocalyptic number.

3030415441920 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 3030415441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5453092394568).

3030415441920 is an abundant number, since it is smaller than the sum of its proper divisors (7875769347216).

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

3030415441920 is an frugal number, since it uses more digits than its factorization.

3030415441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6400 (or 6353 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 3030415441920 in words is "three trillion, thirty billion, four hundred fifteen million, four hundred forty-one thousand, nine hundred twenty".