10023378400 has 144 divisors (see below), whose sum is σ = 28223506080. Its totient is φ = 3404851200.

The previous prime is 10023378377. The next prime is 10023378433. The reversal of 10023378400 is 487332001.

It is a super-2 number, since 2×10023378400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 602190 + ... + 618610.

It is an arithmetic number, because the mean of its divisors is an integer number (195996570).

Almost surely, 2^10023378400 is an apocalyptic number.

10023378400 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 10023378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14111753040).

10023378400 is an abundant number, since it is smaller than the sum of its proper divisors (18200127680).

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

10023378400 is a wasteful number, since it uses less digits than its factorization.

10023378400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16557 (or 16544 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 10023378400 in words is "ten billion, twenty-three million, three hundred seventy-eight thousand, four hundred".