10445450400 has 864 divisors, whose sum is σ = 46680012288. Its totient is φ = 2134886400.

The previous prime is 10445450381. The next prime is 10445450413. The reversal of 10445450400 is 405454401.

10445450400 is a `hidden beast` number, since 104 + 4 + 54 + 504 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46015087 + ... + 46015313.

It is an arithmetic number, because the mean of its divisors is an integer number (54027792).

Almost surely, 2^10445450400 is an apocalyptic number.

10445450400 is a gapful number since it is divisible by the number (10) 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 10445450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23340006144).

10445450400 is an abundant number, since it is smaller than the sum of its proper divisors (36234561888).

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

10445450400 is a wasteful number, since it uses less digits than its factorization.

10445450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 10445450400 in words is "ten billion, four hundred forty-five million, four hundred fifty thousand, four hundred".