103440332000000 has 504 divisors, whose sum is σ = 281050394696400. Its totient is φ = 37845964800000.

The previous prime is 103440331999919. The next prime is 103440332000017. The reversal of 103440332000000 is 233044301.

It is a super-3 number, since 3×103440332000000³ (a number of 43 digits) contains 333 as substring.

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 55 ways as a sum of consecutive naturals, for example, 2203976534 + ... + 2204023466.

Almost surely, 2^{103440332000000} is an apocalyptic number.

103440332000000 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 103440332000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140525197348200).

103440332000000 is an abundant number, since it is smaller than the sum of its proper divisors (177610062696400).

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

103440332000000 is an frugal number, since it uses more digits than its factorization.

103440332000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47027 (or 46988 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 103440332000000 its reverse (233044301), we get a palindrome (103440565044301).

The spelling of 103440332000000 in words is "one hundred three trillion, four hundred forty billion, three hundred thirty-two million", and thus it is an aban number.