10463990400 has 384 divisors, whose sum is σ = 38520748800. Its totient is φ = 2774016000.

The previous prime is 10463990389. The next prime is 10463990419. The reversal of 10463990400 is 409936401.

10463990400 is a `hidden beast` number, since 10 + 4 + 639 + 9 + 0 + 4 + 0 + 0 = 666.

10463990400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24278185 + ... + 24278615.

It is an arithmetic number, because the mean of its divisors is an integer number (100314450).

Almost surely, 2^10463990400 is an apocalyptic number.

10463990400 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 10463990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19260374400).

10463990400 is an abundant number, since it is smaller than the sum of its proper divisors (28056758400).

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

10463990400 is a wasteful number, since it uses less digits than its factorization.

10463990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 10463990400 in words is "ten billion, four hundred sixty-three million, nine hundred ninety thousand, four hundred".