10407247200 has 432 divisors, whose sum is σ = 43789228560. Its totient is φ = 2378557440.

The previous prime is 10407247199. The next prime is 10407247211. The reversal of 10407247200 is 274270401.

It is a happy number.

10407247200 is a `hidden beast` number, since 10 + 407 + 2 + 47 + 200 = 666.

10407247200 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 (432).

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1053484 + ... + 1063316.

It is an arithmetic number, because the mean of its divisors is an integer number (101363955).

Almost surely, 2^10407247200 is an apocalyptic number.

10407247200 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 10407247200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21894614280).

10407247200 is an abundant number, since it is smaller than the sum of its proper divisors (33381981360).

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

10407247200 is a wasteful number, since it uses less digits than its factorization.

10407247200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9876 (or 9850 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The spelling of 10407247200 in words is "ten billion, four hundred seven million, two hundred forty-seven thousand, two hundred".