104033341440 has 1560 divisors, whose sum is σ = 467360374272. Its totient is φ = 21658337280.

The previous prime is 104033341439. The next prime is 104033341459. The reversal of 104033341440 is 44143330401.

It is a super-2 number, since 2×104033341440² (a number of 23 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 3355914225 + ... + 3355914255.

Almost surely, 2^104033341440 is an apocalyptic number.

104033341440 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 104033341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233680187136).

104033341440 is an abundant number, since it is smaller than the sum of its proper divisors (363327032832).

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

104033341440 is an equidigital number, since it uses as much as digits as its factorization.

104033341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 104033341440 its reverse (44143330401), we get a palindrome (148176671841).

The spelling of 104033341440 in words is "one hundred four billion, thirty-three million, three hundred forty-one thousand, four hundred forty".