102444012314400 has 72 divisors (see below), whose sum is σ = 333455260091184. Its totient is φ = 27318403283200.

The previous prime is 102444012314351. The next prime is 102444012314491. The reversal of 102444012314400 is 4413210444201.

It is a happy number.

102444012314400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21342500166 + ... + 21342504965.

It is an arithmetic number, because the mean of its divisors is an integer number (4631323056822).

Almost surely, 2^{102444012314400} is an apocalyptic number.

102444012314400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102444012314400 is an abundant number, since it is smaller than the sum of its proper divisors (231011247776784).

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

102444012314400 is a wasteful number, since it uses less digits than its factorization.

102444012314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42685005154 (or 42685005141 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 102444012314400 its reverse (4413210444201), we get a palindrome (106857222758601).

The spelling of 102444012314400 in words is "one hundred two trillion, four hundred forty-four billion, twelve million, three hundred fourteen thousand, four hundred".