1955605440 has 112 divisors (see below), whose sum is σ = 6218907552. Its totient is φ = 520667136.

The previous prime is 1955605439. The next prime is 1955605441. The reversal of 1955605440 is 445065591.

It is an interprime number because it is at equal distance from previous prime (1955605439) and next prime (1955605441).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1955605441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 821532 + ... + 823908.

Almost surely, 2^1955605440 is an apocalyptic number.

1955605440 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 1955605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109453776).

1955605440 is an abundant number, since it is smaller than the sum of its proper divisors (4263302112).

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

1955605440 is a wasteful number, since it uses less digits than its factorization.

1955605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The square root of 1955605440 is about 44222.2278950303. The cubic root of 1955605440 is about 1250.5289366826.

The spelling of 1955605440 in words is "one billion, nine hundred fifty-five million, six hundred five thousand, four hundred forty".