10381623408 has 240 divisors, whose sum is σ = 33407861760. Its totient is φ = 2982873600.

The previous prime is 10381623391. The next prime is 10381623409. The reversal of 10381623408 is 80432618301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10381623409) 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 47 ways as a sum of consecutive naturals, for example, 2523273 + ... + 2527383.

It is an arithmetic number, because the mean of its divisors is an integer number (139199424).

Almost surely, 2^10381623408 is an apocalyptic number.

10381623408 is a gapful number since it is divisible by the number (18) 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 10381623408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16703930880).

10381623408 is an abundant number, since it is smaller than the sum of its proper divisors (23026238352).

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

10381623408 is a wasteful number, since it uses less digits than its factorization.

10381623408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4228 (or 4219 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10381623408 in words is "ten billion, three hundred eighty-one million, six hundred twenty-three thousand, four hundred eight".