10409163600 has 240 divisors, whose sum is σ = 36460862784. Its totient is φ = 2517504000.

The previous prime is 10409163593. The next prime is 10409163629. The reversal of 10409163600 is 636190401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 8724604 + ... + 8725796.

Almost surely, 2^10409163600 is an apocalyptic number.

10409163600 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 10409163600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18230431392).

10409163600 is an abundant number, since it is smaller than the sum of its proper divisors (26051699184).

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

10409163600 is a wasteful number, since it uses less digits than its factorization.

10409163600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 10409163600 in words is "ten billion, four hundred nine million, one hundred sixty-three thousand, six hundred".