1105551253440 has 448 divisors, whose sum is σ = 3970242138240. Its totient is φ = 289529856000.

The previous prime is 1105551253439. The next prime is 1105551253511. The reversal of 1105551253440 is 443521555011.

1105551253440 is a `hidden beast` number, since 1 + 1 + 0 + 55 + 512 + 53 + 4 + 40 = 666.

It is a super-2 number, since 2×1105551253440² (a number of 25 digits) contains 22 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 = 1105551253395 and 1105551253404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 464321050 + ... + 464323430.

It is an arithmetic number, because the mean of its divisors is an integer number (8862147630).

Almost surely, 2^{1105551253440} is an apocalyptic number.

1105551253440 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 1105551253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985121069120).

1105551253440 is an abundant number, since it is smaller than the sum of its proper divisors (2864690884800).

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

1105551253440 is a wasteful number, since it uses less digits than its factorization.

1105551253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 1105551253440 in words is "one trillion, one hundred five billion, five hundred fifty-one million, two hundred fifty-three thousand, four hundred forty".