3241220149440 has 896 divisors, whose sum is σ = 14087740907520. Its totient is φ = 683145363456.

The previous prime is 3241220149429. The next prime is 3241220149493. The reversal of 3241220149440 is 449410221423.

3241220149440 is a `hidden beast` number, since 3 + 2 + 4 + 1 + 2 + 201 + 4 + 9 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3241220149395 and 3241220149404.

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 127 ways as a sum of consecutive naturals, for example, 1118818072 + ... + 1118820968.

It is an arithmetic number, because the mean of its divisors is an integer number (15722925120).

Almost surely, 2^{3241220149440} is an apocalyptic number.

3241220149440 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 3241220149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7043870453760).

3241220149440 is an abundant number, since it is smaller than the sum of its proper divisors (10846520758080).

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

3241220149440 is a wasteful number, since it uses less digits than its factorization.

3241220149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4366 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 3241220149440 in words is "three trillion, two hundred forty-one billion, two hundred twenty million, one hundred forty-nine thousand, four hundred forty".