3219514045440 has 704 divisors, whose sum is σ = 13185496147968. Its totient is φ = 650900275200.

The previous prime is 3219514045427. The next prime is 3219514045523. The reversal of 3219514045440 is 445404159123.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3219514045392 and 3219514045401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43723855 + ... + 43797425.

Almost surely, 2^{3219514045440} is an apocalyptic number.

3219514045440 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 3219514045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6592748073984).

3219514045440 is an abundant number, since it is smaller than the sum of its proper divisors (9965982102528).

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

3219514045440 is a wasteful number, since it uses less digits than its factorization.

3219514045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73654 (or 73636 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 3219514045440 in words is "three trillion, two hundred nineteen billion, five hundred fourteen million, forty-five thousand, four hundred forty".