10413619200 has 648 divisors, whose sum is σ = 39976503840. Its totient is φ = 2687385600.

The previous prime is 10413619189. The next prime is 10413619201. The reversal of 10413619200 is 291631401.

10413619200 is a `hidden beast` number, since 1 + 0 + 41 + 3 + 619 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10413619201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 335923185 + ... + 335923215.

Almost surely, 2^10413619200 is an apocalyptic number.

10413619200 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 10413619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19988251920).

10413619200 is an abundant number, since it is smaller than the sum of its proper divisors (29562884640).

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

10413619200 is an frugal number, since it uses more digits than its factorization.

10413619200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 10413619200 in words is "ten billion, four hundred thirteen million, six hundred nineteen thousand, two hundred".