103468285440 has 800 divisors, whose sum is σ = 403516735776. Its totient is φ = 25188433920.

The previous prime is 103468285421. The next prime is 103468285441. The reversal of 103468285440 is 44582864301.

103468285440 is a `hidden beast` number, since 10 + 3 + 46 + 82 + 85 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103468285441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 353133934 + ... + 353134226.

Almost surely, 2^103468285440 is an apocalyptic number.

103468285440 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 103468285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201758367888).

103468285440 is an abundant number, since it is smaller than the sum of its proper divisors (300048450336).

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

103468285440 is a wasteful number, since it uses less digits than its factorization.

103468285440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 103468285440 in words is "one hundred three billion, four hundred sixty-eight million, two hundred eighty-five thousand, four hundred forty".