3425553991440 has 480 divisors, whose sum is σ = 13249409412096. Its totient is φ = 776943498240.

The previous prime is 3425553991427. The next prime is 3425553991481. The reversal of 3425553991440 is 441993555243.

3425553991440 is a `hidden beast` number, since 3 + 4 + 2 + 55 + 539 + 9 + 14 + 40 = 666.

3425553991440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 369009039 + ... + 369018321.

Almost surely, 2^{3425553991440} is an apocalyptic number.

3425553991440 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 3425553991440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6624704706048).

3425553991440 is an abundant number, since it is smaller than the sum of its proper divisors (9823855420656).

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

3425553991440 is a wasteful number, since it uses less digits than its factorization.

3425553991440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9867 (or 9858 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 3425553991440 in words is "three trillion, four hundred twenty-five billion, five hundred fifty-three million, nine hundred ninety-one thousand, four hundred forty".