10041522400 has 144 divisors (see below), whose sum is σ = 30171131424. Its totient is φ = 3177953280.

The previous prime is 10041522391. The next prime is 10041522409. The reversal of 10041522400 is 422514001.

It is an interprime number because it is at equal distance from previous prime (10041522391) and next prime (10041522409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041522409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3834 + ... + 141766.

It is an arithmetic number, because the mean of its divisors is an integer number (209521746).

Almost surely, 2^10041522400 is an apocalyptic number.

10041522400 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 10041522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15085565712).

10041522400 is an abundant number, since it is smaller than the sum of its proper divisors (20129609024).

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

10041522400 is a wasteful number, since it uses less digits than its factorization.

10041522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137973 (or 137960 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The spelling of 10041522400 in words is "ten billion, forty-one million, five hundred twenty-two thousand, four hundred".