3198361645440 has 896 divisors, whose sum is σ = 13072357821600. Its totient is φ = 740954013696.

The previous prime is 3198361645411. The next prime is 3198361645481. The reversal of 3198361645440 is 445461638913.

It is a happy number.

3198361645440 is a `hidden beast` number, since 3 + 1 + 9 + 8 + 36 + 1 + 64 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 103094251 + ... + 103125269.

Almost surely, 2^{3198361645440} is an apocalyptic number.

3198361645440 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 3198361645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6536178910800).

3198361645440 is an abundant number, since it is smaller than the sum of its proper divisors (9873996176160).

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

3198361645440 is a wasteful number, since it uses less digits than its factorization.

3198361645440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31086 (or 31059 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 3198361645440 in words is "three trillion, one hundred ninety-eight billion, three hundred sixty-one million, six hundred forty-five thousand, four hundred forty".