1955673440 has 288 divisors, whose sum is σ = 5765437440. Its totient is φ = 612817920.

The previous prime is 1955673389. The next prime is 1955673469. The reversal of 1955673440 is 443765591.

It is a junction number, because it is equal to n+sod(n) for n = 1955673391 and 1955673400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24755321 + ... + 24755399.

It is an arithmetic number, because the mean of its divisors is an integer number (20018880).

Almost surely, 2^1955673440 is an apocalyptic number.

1955673440 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 1955673440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882718720).

1955673440 is an abundant number, since it is smaller than the sum of its proper divisors (3809764000).

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

1955673440 is a wasteful number, since it uses less digits than its factorization.

1955673440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 44.

The square root of 1955673440 is about 44222.9967324694. The cubic root of 1955673440 is about 1250.5434309120.

The spelling of 1955673440 in words is "one billion, nine hundred fifty-five million, six hundred seventy-three thousand, four hundred forty".