445401320400 has 240 divisors, whose sum is σ = 1654225729920. Its totient is φ = 113609548800.

The previous prime is 445401320393. The next prime is 445401320411. The reversal of 445401320400 is 4023104544.

It is a happy number.

445401320400 is a `hidden beast` number, since 4 + 454 + 0 + 1 + 3 + 204 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 648141 + ... + 1144940.

It is an arithmetic number, because the mean of its divisors is an integer number (6892607208).

Almost surely, 2^445401320400 is an apocalyptic number.

445401320400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445401320400 is an abundant number, since it is smaller than the sum of its proper divisors (1208824409520).

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

445401320400 is a wasteful number, since it uses less digits than its factorization.

445401320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793131 (or 1793114 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 445401320400 its reverse (4023104544), we get a palindrome (449424424944).

The spelling of 445401320400 in words is "four hundred forty-five billion, four hundred one million, three hundred twenty thousand, four hundred".