103214130004440 has 512 divisors, whose sum is σ = 423502361856000. Its totient is φ = 21773972994048.

The previous prime is 103214130004373. The next prime is 103214130004483. The reversal of 103214130004440 is 44400031412301.

103214130004440 is a `hidden beast` number, since 1 + 0 + 3 + 214 + 1 + 3 + 0 + 0 + 0 + 4 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 733000122 + ... + 733140918.

It is an arithmetic number, because the mean of its divisors is an integer number (827153050500).

Almost surely, 2^{103214130004440} is an apocalyptic number.

103214130004440 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 103214130004440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211751180928000).

103214130004440 is an abundant number, since it is smaller than the sum of its proper divisors (320288231851560).

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

103214130004440 is a wasteful number, since it uses less digits than its factorization.

103214130004440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148296 (or 148286 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 103214130004440 its reverse (44400031412301), we get a palindrome (147614161416741).

The spelling of 103214130004440 in words is "one hundred three trillion, two hundred fourteen billion, one hundred thirty million, four thousand, four hundred forty".