3441411242400 has 144 divisors (see below), whose sum is σ = 11207177319744. Its totient is φ = 917268602880.

The previous prime is 3441411242393. The next prime is 3441411242417. The reversal of 3441411242400 is 42421141443.

It is a happy number.

It is a super-2 number, since 2×3441411242400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4665264 + ... + 5352336.

It is an arithmetic number, because the mean of its divisors is an integer number (77827620276).

Almost surely, 2^{3441411242400} is an apocalyptic number.

3441411242400 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 3441411242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5603588659872).

3441411242400 is an abundant number, since it is smaller than the sum of its proper divisors (7765766077344).

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

3441411242400 is a wasteful number, since it uses less digits than its factorization.

3441411242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689183 (or 689170 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 3441411242400 its reverse (42421141443), we get a palindrome (3483832383843).

The spelling of 3441411242400 in words is "three trillion, four hundred forty-one billion, four hundred eleven million, two hundred forty-two thousand, four hundred".