1604560244400 has 480 divisors, whose sum is σ = 5965457472000. Its totient is φ = 409108976640.

The previous prime is 1604560244303. The next prime is 1604560244411. The reversal of 1604560244400 is 44420654061.

1604560244400 is a `hidden beast` number, since 1 + 6 + 0 + 4 + 5 + 6 + 0 + 244 + 400 = 666.

It is a super-2 number, since 2×1604560244400² (a number of 25 digits) contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 32234731 + ... + 32284469.

It is an arithmetic number, because the mean of its divisors is an integer number (12428036400).

Almost surely, 2^{1604560244400} is an apocalyptic number.

1604560244400 is a gapful number since it is divisible by the number (10) 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 1604560244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982728736000).

1604560244400 is an abundant number, since it is smaller than the sum of its proper divisors (4360897227600).

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

1604560244400 is a wasteful number, since it uses less digits than its factorization.

1604560244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49898 (or 49881 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 1604560244400 its reverse (44420654061), we get a palindrome (1648980898461).

The spelling of 1604560244400 in words is "one trillion, six hundred four billion, five hundred sixty million, two hundred forty-four thousand, four hundred".