10024010400 has 288 divisors, whose sum is σ = 33770338560. Its totient is φ = 2580664320.

The previous prime is 10024010387. The next prime is 10024010417. The reversal of 10024010400 is 401042001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 13941241 + ... + 13941959.

It is an arithmetic number, because the mean of its divisors is an integer number (117258120).

Almost surely, 2^10024010400 is an apocalyptic number.

10024010400 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 10024010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16885169280).

10024010400 is an abundant number, since it is smaller than the sum of its proper divisors (23746328160).

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

10024010400 is a wasteful number, since it uses less digits than its factorization.

10024010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10024010400 its reverse (401042001), we get a palindrome (10425052401).

The spelling of 10024010400 in words is "ten billion, twenty-four million, ten thousand, four hundred".