4581856952400 has 1440 divisors, whose sum is σ = 19321406565120. Its totient is φ = 905633464320.

The previous prime is 4581856952377. The next prime is 4581856952401. The reversal of 4581856952400 is 42596581854.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4581856952401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9001683346 + ... + 9001683854.

It is an arithmetic number, because the mean of its divisors is an integer number (13417643448).

Almost surely, 2^{4581856952400} is an apocalyptic number.

4581856952400 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 4581856952400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9660703282560).

4581856952400 is an abundant number, since it is smaller than the sum of its proper divisors (14739549612720).

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

4581856952400 is a wasteful number, since it uses less digits than its factorization.

4581856952400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 57.

The spelling of 4581856952400 in words is "four trillion, five hundred eighty-one billion, eight hundred fifty-six million, nine hundred fifty-two thousand, four hundred".