3541366333440 has 2016 divisors, whose sum is σ = 14722948618560. Its totient is φ = 781059096576.

The previous prime is 3541366333423. The next prime is 3541366333469. The reversal of 3541366333440 is 443336631453.

3541366333440 is a `hidden beast` number, since 3 + 5 + 4 + 1 + 3 + 6 + 633 + 3 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39790632916 + ... + 39790633004.

It is an arithmetic number, because the mean of its divisors is an integer number (7303049910).

Almost surely, 2^{3541366333440} is an apocalyptic number.

3541366333440 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 3541366333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7361474309280).

3541366333440 is an abundant number, since it is smaller than the sum of its proper divisors (11181582285120).

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

3541366333440 is a wasteful number, since it uses less digits than its factorization.

3541366333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 45.

The spelling of 3541366333440 in words is "three trillion, five hundred forty-one billion, three hundred sixty-six million, three hundred thirty-three thousand, four hundred forty".