24340401010400 has 144 divisors (see below), whose sum is σ = 62016288453504. Its totient is φ = 9311082401280.

The previous prime is 24340401010379. The next prime is 24340401010403. The reversal of 24340401010400 is 401010404342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24340401010403) 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, 98998019 + ... + 99243581.

It is an arithmetic number, because the mean of its divisors is an integer number (430668669816).

Almost surely, 2^{24340401010400} is an apocalyptic number.

24340401010400 is a gapful number since it is divisible by the number (20) 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 24340401010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31008144226752).

24340401010400 is an abundant number, since it is smaller than the sum of its proper divisors (37675887443104).

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

24340401010400 is a wasteful number, since it uses less digits than its factorization.

24340401010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250993 (or 250980 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 24340401010400 its reverse (401010404342), we get a palindrome (24741411414742).

The spelling of 24340401010400 in words is "twenty-four trillion, three hundred forty billion, four hundred one million, ten thousand, four hundred".