2200125505440 has 96 divisors (see below), whose sum is σ = 6931823754240. Its totient is φ = 586579211264.

The previous prime is 2200125505423. The next prime is 2200125505451. The reversal of 2200125505440 is 445055210022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2200125505398 and 2200125505407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1871041 + ... + 2810879.

It is an arithmetic number, because the mean of its divisors is an integer number (72206497440).

Almost surely, 2^{2200125505440} is an apocalyptic number.

2200125505440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200125505440 is an abundant number, since it is smaller than the sum of its proper divisors (4731698248800).

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

2200125505440 is a wasteful number, since it uses less digits than its factorization.

2200125505440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944734 (or 944726 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 2200125505440 in words is "two trillion, two hundred billion, one hundred twenty-five million, five hundred five thousand, four hundred forty".