4513457894400 has 4752 divisors, whose sum is σ = 22561357605696. Its totient is φ = 882895749120.

The previous prime is 4513457894399. The next prime is 4513457894471. The reversal of 4513457894400 is 44987543154.

4513457894400 is a `hidden beast` number, since 4 + 51 + 34 + 5 + 78 + 94 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 431 ways as a sum of consecutive naturals, for example, 67365043167 + ... + 67365043233.

Almost surely, 2^{4513457894400} is an apocalyptic number.

4513457894400 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 4513457894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11280678802848).

4513457894400 is an abundant number, since it is smaller than the sum of its proper divisors (18047899711296).

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

4513457894400 is a wasteful number, since it uses less digits than its factorization.

4513457894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 4513457894400 in words is "four trillion, five hundred thirteen billion, four hundred fifty-seven million, eight hundred ninety-four thousand, four hundred".