445141382400 has 1944 divisors, whose sum is σ = 2001594624120. Its totient is φ = 93752524800.

The previous prime is 445141382377. The next prime is 445141382437. The reversal of 445141382400 is 4283141544.

445141382400 is a `hidden beast` number, since 4 + 4 + 514 + 138 + 2 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 175755469824 + 269385912576 = 419232^2 + 519024^2 .

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 26184787192 + ... + 26184787208.

Almost surely, 2^445141382400 is an apocalyptic number.

445141382400 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 445141382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000797312060).

445141382400 is an abundant number, since it is smaller than the sum of its proper divisors (1556453241720).

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

445141382400 is a wasteful number, since it uses less digits than its factorization.

445141382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

It can be divided in two parts, 445141 and 382400, that added together give a triangular number (827541 = T₁₂₈₆).

The spelling of 445141382400 in words is "four hundred forty-five billion, one hundred forty-one million, three hundred eighty-two thousand, four hundred".