10041254400 has 240 divisors, whose sum is σ = 33488928000. Its totient is φ = 2651996160.

The previous prime is 10041254389. The next prime is 10041254411. The reversal of 10041254400 is 445214001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10041254389) and next prime (10041254411).

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

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, 4184401 + ... + 4186799.

It is an arithmetic number, because the mean of its divisors is an integer number (139537200).

Almost surely, 2^10041254400 is an apocalyptic number.

10041254400 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 10041254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16744464000).

10041254400 is an abundant number, since it is smaller than the sum of its proper divisors (23447673600).

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

10041254400 is a wasteful number, since it uses less digits than its factorization.

10041254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 10041254400 its reverse (445214001), we get a palindrome (10486468401).

The spelling of 10041254400 in words is "ten billion, forty-one million, two hundred fifty-four thousand, four hundred".