4045349332128 has 384 divisors, whose sum is σ = 11671161384960. Its totient is φ = 1219459276800.

The previous prime is 4045349332127. The next prime is 4045349332139. The reversal of 4045349332128 is 8212339435404.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4045349332127) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8851967676 + ... + 8851968132.

It is an arithmetic number, because the mean of its divisors is an integer number (30393649440).

Almost surely, 2^{4045349332128} is an apocalyptic number.

4045349332128 is a gapful number since it is divisible by the number (48) 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 4045349332128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5835580692480).

4045349332128 is an abundant number, since it is smaller than the sum of its proper divisors (7625812052832).

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

4045349332128 is a wasteful number, since it uses less digits than its factorization.

4045349332128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 4045349332128 in words is "four trillion, forty-five billion, three hundred forty-nine million, three hundred thirty-two thousand, one hundred twenty-eight".