3316444141920 has 768 divisors, whose sum is σ = 13583434475520. Its totient is φ = 660499660800.

The previous prime is 3316444141897. The next prime is 3316444141937. The reversal of 3316444141920 is 291414446133.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 233200410 + ... + 233214630.

It is an arithmetic number, because the mean of its divisors is an integer number (17686763640).

Almost surely, 2^{3316444141920} is an apocalyptic number.

3316444141920 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 3316444141920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6791717237760).

3316444141920 is an abundant number, since it is smaller than the sum of its proper divisors (10266990333600).

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

3316444141920 is a wasteful number, since it uses less digits than its factorization.

3316444141920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14559 (or 14551 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 3316444141920 in words is "three trillion, three hundred sixteen billion, four hundred forty-four million, one hundred forty-one thousand, nine hundred twenty".