10463842400 has 288 divisors, whose sum is σ = 28752597216. Its totient is φ = 3686400000.

The previous prime is 10463842391. The next prime is 10463842421. The reversal of 10463842400 is 424836401.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 54216704 + ... + 54216896.

It is an arithmetic number, because the mean of its divisors is an integer number (99835407).

Almost surely, 2^10463842400 is an apocalyptic number.

10463842400 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 10463842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14376298608).

10463842400 is an abundant number, since it is smaller than the sum of its proper divisors (18288754816).

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

10463842400 is a wasteful number, since it uses less digits than its factorization.

10463842400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 10463842400 in words is "ten billion, four hundred sixty-three million, eight hundred forty-two thousand, four hundred".