3441509402400 has 360 divisors, whose sum is σ = 12567673586160. Its totient is φ = 916481226240.

The previous prime is 3441509402327. The next prime is 3441509402423. The reversal of 3441509402400 is 42049051443.

3441509402400 is a `hidden beast` number, since 34 + 41 + 509 + 40 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×3441509402400³ (a number of 39 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 47851267 + ... + 47923133.

It is an arithmetic number, because the mean of its divisors is an integer number (34910204406).

Almost surely, 2^{3441509402400} is an apocalyptic number.

3441509402400 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 3441509402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283836793080).

3441509402400 is an abundant number, since it is smaller than the sum of its proper divisors (9126164183760).

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

3441509402400 is a wasteful number, since it uses less digits than its factorization.

3441509402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72638 (or 72616 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 3441509402400 in words is "three trillion, four hundred forty-one billion, five hundred nine million, four hundred two thousand, four hundred".