1955903040 has 672 divisors, whose sum is σ = 8787018240. Its totient is φ = 387514368.

The previous prime is 1955903021. The next prime is 1955903069. The reversal of 1955903040 is 403095591.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 1955902986 and 1955903004.

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 95 ways as a sum of consecutive naturals, for example, 4455141 + ... + 4455579.

It is an arithmetic number, because the mean of its divisors is an integer number (13075920).

Almost surely, 2^1955903040 is an apocalyptic number.

1955903040 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 1955903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4393509120).

1955903040 is an abundant number, since it is smaller than the sum of its proper divisors (6831115200).

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

1955903040 is a wasteful number, since it uses less digits than its factorization.

1955903040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 1955903040 is about 44225.5925907161. The cubic root of 1955903040 is about 1250.5923677693.

The spelling of 1955903040 in words is "one billion, nine hundred fifty-five million, nine hundred three thousand, forty".