3441554615040 has 288 divisors, whose sum is σ = 11641679017920. Its totient is φ = 863491325952.

The previous prime is 3441554614987. The next prime is 3441554615047. The reversal of 3441554615040 is 405164551443.

It is a junction number, because it is equal to n+sod(n) for n = 3441554614983 and 3441554615001.

It is not an unprimeable number, because it can be changed into a prime (3441554615047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 280502026 + ... + 280514294.

It is an arithmetic number, because the mean of its divisors is an integer number (40422496590).

Almost surely, 2^{3441554615040} is an apocalyptic number.

3441554615040 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 3441554615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5820839508960).

3441554615040 is an abundant number, since it is smaller than the sum of its proper divisors (8200124402880).

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

3441554615040 is a wasteful number, since it uses less digits than its factorization.

3441554615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16607 (or 16593 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 3441554615040 in words is "three trillion, four hundred forty-one billion, five hundred fifty-four million, six hundred fifteen thousand, forty".