4555458678400 has 768 divisors, whose sum is σ = 13625198645760. Its totient is φ = 1471363153920.

The previous prime is 4555458678389. The next prime is 4555458678409. The reversal of 4555458678400 is 48768545554.

It is not an unprimeable number, because it can be changed into a prime (4555458678409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16445699062 + ... + 16445699338.

It is an arithmetic number, because the mean of its divisors is an integer number (17741144070).

Almost surely, 2^{4555458678400} is an apocalyptic number.

4555458678400 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 4555458678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6812599322880).

4555458678400 is an abundant number, since it is smaller than the sum of its proper divisors (9069739967360).

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

4555458678400 is a wasteful number, since it uses less digits than its factorization.

4555458678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 107520000, while the sum is 61.

The spelling of 4555458678400 in words is "four trillion, five hundred fifty-five billion, four hundred fifty-eight million, six hundred seventy-eight thousand, four hundred".