4549821350400 has 720 divisors, whose sum is σ = 17172553981440. Its totient is φ = 1147215052800.

The previous prime is 4549821350233. The next prime is 4549821350407. The reversal of 4549821350400 is 40531289454.

4549821350400 is a `hidden beast` number, since 4 + 54 + 9 + 82 + 13 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4549821350407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1341732705 + ... + 1341736095.

Almost surely, 2^{4549821350400} is an apocalyptic number.

4549821350400 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 4549821350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8586276990720).

4549821350400 is an abundant number, since it is smaller than the sum of its proper divisors (12622732631040).

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

4549821350400 is a wasteful number, since it uses less digits than its factorization.

4549821350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 4549821350400 in words is "four trillion, five hundred forty-nine billion, eight hundred twenty-one million, three hundred fifty thousand, four hundred".