4413400560 has 320 divisors, whose sum is σ = 16522752000. Its totient is φ = 1078686720.

The previous prime is 4413400559. The next prime is 4413400567. The reversal of 4413400560 is 650043144.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4413400567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1270506 + ... + 1273974.

It is an arithmetic number, because the mean of its divisors is an integer number (51633600).

Almost surely, 2^4413400560 is an apocalyptic number.

4413400560 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 4413400560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8261376000).

4413400560 is an abundant number, since it is smaller than the sum of its proper divisors (12109351440).

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

4413400560 is a wasteful number, since it uses less digits than its factorization.

4413400560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4413400560 is about 66433.4295366422. The cubic root of 4413400560 is about 1640.3043952139.

The spelling of 4413400560 in words is "four billion, four hundred thirteen million, four hundred thousand, five hundred sixty".