5604561421440 has 256 divisors, whose sum is σ = 17985664569600. Its totient is φ = 1484448399360.

The previous prime is 5604561421379. The next prime is 5604561421441. The reversal of 5604561421440 is 441241654065.

It is a happy number.

It is a super-2 number, since 2×5604561421440² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5604561421392 and 5604561421401.

It is not an unprimeable number, because it can be changed into a prime (5604561421441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182954925 + ... + 182985555.

It is an arithmetic number, because the mean of its divisors is an integer number (70256502225).

Almost surely, 2^{5604561421440} 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 5604561421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8992832284800).

5604561421440 is an abundant number, since it is smaller than the sum of its proper divisors (12381103148160).

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

5604561421440 is a wasteful number, since it uses less digits than its factorization.

5604561421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31295 (or 31283 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 5604561421440 in words is "five trillion, six hundred four billion, five hundred sixty-one million, four hundred twenty-one thousand, four hundred forty".