4045551361280 has 288 divisors, whose sum is σ = 11599307879040. Its totient is φ = 1332322467840.

The previous prime is 4045551361277. The next prime is 4045551361301. The reversal of 4045551361280 is 821631555404.

It is a super-2 number, since 2×4045551361280² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 9492611 + ... + 9909629.

It is an arithmetic number, because the mean of its divisors is an integer number (40275374580).

Almost surely, 2^{4045551361280} is an apocalyptic number.

4045551361280 is a gapful number since it is divisible by the number (40) 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 4045551361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5799653939520).

4045551361280 is an abundant number, since it is smaller than the sum of its proper divisors (7553756517760).

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

4045551361280 is a wasteful number, since it uses less digits than its factorization.

4045551361280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417117 (or 417103 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 44.

The spelling of 4045551361280 in words is "four trillion, forty-five billion, five hundred fifty-one million, three hundred sixty-one thousand, two hundred eighty".