103486351933440 has 1632 divisors, whose sum is σ = 433281719270400. Its totient is φ = 22320827596800.

The previous prime is 103486351933411. The next prime is 103486351933487. The reversal of 103486351933440 is 44339153684301.

103486351933440 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 8 + 6 + 3 + 5 + 193 + 3 + 440 = 666.

103486351933440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 172190269140 + ... + 172190269740.

Almost surely, 2^{103486351933440} is an apocalyptic number.

103486351933440 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 103486351933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216640859635200).

103486351933440 is an abundant number, since it is smaller than the sum of its proper divisors (329795367336960).

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

103486351933440 is an equidigital number, since it uses as much as digits as its factorization.

103486351933440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 103486351933440 in words is "one hundred three trillion, four hundred eighty-six billion, three hundred fifty-one million, nine hundred thirty-three thousand, four hundred forty".