3416821121560 has 256 divisors, whose sum is σ = 9645617479680. Its totient is φ = 1058241024000.

The previous prime is 3416821121557. The next prime is 3416821121599. The reversal of 3416821121560 is 651211286143.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 63 ways as a sum of consecutive naturals, for example, 1271610537 + ... + 1271613223.

It is an arithmetic number, because the mean of its divisors is an integer number (37678193280).

Almost surely, 2^{3416821121560} 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 3416821121560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4822808739840).

3416821121560 is an abundant number, since it is smaller than the sum of its proper divisors (6228796358120).

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

3416821121560 is a wasteful number, since it uses less digits than its factorization.

3416821121560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5178 (or 5174 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 3416821121560 in words is "three trillion, four hundred sixteen billion, eight hundred twenty-one million, one hundred twenty-one thousand, five hundred sixty".