10409229600 has 1152 divisors, whose sum is σ = 46077050880. Its totient is φ = 1976832000.

The previous prime is 10409229583. The next prime is 10409229643. The reversal of 10409229600 is 692290401.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 131762361 + ... + 131762439.

It is an arithmetic number, because the mean of its divisors is an integer number (39997440).

Almost surely, 2^10409229600 is an apocalyptic number.

10409229600 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 10409229600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23038525440).

10409229600 is an abundant number, since it is smaller than the sum of its proper divisors (35667821280).

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

10409229600 is a wasteful number, since it uses less digits than its factorization.

10409229600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 10409229600 in words is "ten billion, four hundred nine million, two hundred twenty-nine thousand, six hundred".