102441040400 has 120 divisors (see below), whose sum is σ = 249714850560. Its totient is φ = 40380641280.

The previous prime is 102441040369. The next prime is 102441040423. The reversal of 102441040400 is 4040144201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 9267677 + ... + 9278723.

It is an arithmetic number, because the mean of its divisors is an integer number (2080957088).

Almost surely, 2^102441040400 is an apocalyptic number.

102441040400 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 102441040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124857425280).

102441040400 is an abundant number, since it is smaller than the sum of its proper divisors (147273810160).

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

102441040400 is a wasteful number, since it uses less digits than its factorization.

102441040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11401 (or 11390 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 102441040400 its reverse (4040144201), we get a palindrome (106481184601).

The spelling of 102441040400 in words is "one hundred two billion, four hundred forty-one million, forty thousand, four hundred".