4415322780 has 288 divisors, whose sum is σ = 15044859648. Its totient is φ = 1039104000.

The previous prime is 4415322757. The next prime is 4415322787. The reversal of 4415322780 is 872235144.

It is a happy number.

4415322780 is a `hidden beast` number, since 4 + 41 + 532 + 2 + 7 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4415322787) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11010580 + ... + 11010980.

It is an arithmetic number, because the mean of its divisors is an integer number (52239096).

Almost surely, 2^4415322780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4415322780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7522429824).

4415322780 is an abundant number, since it is smaller than the sum of its proper divisors (10629536868).

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

4415322780 is a wasteful number, since it uses less digits than its factorization.

4415322780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4415322780 is about 66447.8952262598. The cubic root of 4415322780 is about 1640.5425009727.

The spelling of 4415322780 in words is "four billion, four hundred fifteen million, three hundred twenty-two thousand, seven hundred eighty".