1104352835040 has 1296 divisors, whose sum is σ = 4877294935968. Its totient is φ = 226618269696.

The previous prime is 1104352835023. The next prime is 1104352835081. The reversal of 1104352835040 is 405382534011.

1104352835040 is a `hidden beast` number, since 1 + 1 + 0 + 43 + 528 + 3 + 50 + 40 = 666.

It is a super-3 number, since 3×1104352835040³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1104352834986 and 1104352835004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 441210429 + ... + 441212931.

It is an arithmetic number, because the mean of its divisors is an integer number (3763344858).

Almost surely, 2^{1104352835040} is an apocalyptic number.

1104352835040 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 1104352835040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438647467984).

1104352835040 is an abundant number, since it is smaller than the sum of its proper divisors (3772942100928).

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

1104352835040 is a wasteful number, since it uses less digits than its factorization.

1104352835040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2601 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1104352835040 in words is "one trillion, one hundred four billion, three hundred fifty-two million, eight hundred thirty-five thousand, forty".