3552801445440 has 3024 divisors, whose sum is σ = 15808758750720. Its totient is φ = 754617876480.

The previous prime is 3552801445387. The next prime is 3552801445477. The reversal of 3552801445440 is 445441082553.

3552801445440 is a `hidden beast` number, since 3 + 552 + 8 + 0 + 1 + 4 + 4 + 54 + 40 = 666.

It is a super-2 number, since 2×3552801445440² (a number of 26 digits) contains 22 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 114606498225 + ... + 114606498255.

Almost surely, 2^{3552801445440} is an apocalyptic number.

3552801445440 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 3552801445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7904379375360).

3552801445440 is an abundant number, since it is smaller than the sum of its proper divisors (12255957305280).

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

3552801445440 is a wasteful number, since it uses less digits than its factorization.

3552801445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 3552801445440 in words is "three trillion, five hundred fifty-two billion, eight hundred one million, four hundred forty-five thousand, four hundred forty".