4561616654400 has 672 divisors, whose sum is σ = 16349441568768. Its totient is φ = 1106740224000.

The previous prime is 4561616654383. The next prime is 4561616654423. The reversal of 4561616654400 is 44566161654.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4561616654400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3143773675 + ... + 3143775125.

It is an arithmetic number, because the mean of its divisors is an integer number (24329526144).

Almost surely, 2^{4561616654400} is an apocalyptic number.

4561616654400 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 4561616654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8174720784384).

4561616654400 is an abundant number, since it is smaller than the sum of its proper divisors (11787824914368).

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

4561616654400 is a wasteful number, since it uses less digits than its factorization.

4561616654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 4561616654400 in words is "four trillion, five hundred sixty-one billion, six hundred sixteen million, six hundred fifty-four thousand, four hundred".