1613484325440 has 896 divisors, whose sum is σ = 6296236531200. Its totient is φ = 386510192640.

The previous prime is 1613484325433. The next prime is 1613484325469. The reversal of 1613484325440 is 445234843161.

1613484325440 is a `hidden beast` number, since 1 + 61 + 3 + 4 + 8 + 43 + 2 + 544 + 0 = 666.

It is a super-3 number, since 3×1613484325440³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 779836726 + ... + 779838794.

It is an arithmetic number, because the mean of its divisors is an integer number (7027049700).

Almost surely, 2^{1613484325440} is an apocalyptic number.

1613484325440 is a gapful number since it is divisible by the number (10) 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 1613484325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148118265600).

1613484325440 is an abundant number, since it is smaller than the sum of its proper divisors (4682752205760).

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

1613484325440 is a wasteful number, since it uses less digits than its factorization.

1613484325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 1613484325440 in words is "one trillion, six hundred thirteen billion, four hundred eighty-four million, three hundred twenty-five thousand, four hundred forty".