4561561400 has 192 divisors, whose sum is σ = 11908166400. Its totient is φ = 1611008000.

The previous prime is 4561561387. The next prime is 4561561421. The reversal of 4561561400 is 41651654.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14667245 + ... + 14667555.

It is an arithmetic number, because the mean of its divisors is an integer number (62021700).

Almost surely, 2^4561561400 is an apocalyptic number.

4561561400 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 4561561400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5954083200).

4561561400 is an abundant number, since it is smaller than the sum of its proper divisors (7346605000).

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

4561561400 is a wasteful number, since it uses less digits than its factorization.

4561561400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 4561561400 is about 67539.3322442560. The cubic root of 4561561400 is about 1658.4581173129.

The spelling of 4561561400 in words is "four billion, five hundred sixty-one million, five hundred sixty-one thousand, four hundred".