4545221810400 has 432 divisors, whose sum is σ = 16929401448960. Its totient is φ = 1145679897600.

The previous prime is 4545221810359. The next prime is 4545221810419. The reversal of 4545221810400 is 40181225454.

4545221810400 is a `hidden beast` number, since 4 + 54 + 5 + 22 + 181 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9360811 + ... + 9834389.

It is an arithmetic number, because the mean of its divisors is an integer number (39188429280).

Almost surely, 2^{4545221810400} is an apocalyptic number.

4545221810400 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 4545221810400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8464700724480).

4545221810400 is an abundant number, since it is smaller than the sum of its proper divisors (12384179638560).

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

4545221810400 is a wasteful number, since it uses less digits than its factorization.

4545221810400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473679 (or 473663 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 4545221810400 in words is "four trillion, five hundred forty-five billion, two hundred twenty-one million, eight hundred ten thousand, four hundred".