1105425120400 has 60 divisors (see below), whose sum is σ = 2747362634100. Its totient is φ = 426922800640.

The previous prime is 1105425120383. The next prime is 1105425120407. The reversal of 1105425120400 is 40215245011.

It can be written as a sum of positive squares in 6 ways, for example, as 72161002384 + 1033264118016 = 268628^2 + 1016496^2 .

It is a super-2 number, since 2×1105425120400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1105425120407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47636035 + ... + 47659234.

It is an arithmetic number, because the mean of its divisors is an integer number (45789377235).

Almost surely, 2^{1105425120400} is an apocalyptic number.

1105425120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1105425120400 is an abundant number, since it is smaller than the sum of its proper divisors (1641937513700).

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

1105425120400 is a wasteful number, since it uses less digits than its factorization.

1105425120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95295316 (or 95295305 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The spelling of 1105425120400 in words is "one trillion, one hundred five billion, four hundred twenty-five million, one hundred twenty thousand, four hundred".