1755040440 has 64 divisors (see below), whose sum is σ = 5269017600. Its totient is φ = 467664512.

The previous prime is 1755040421. The next prime is 1755040451. The reversal of 1755040440 is 440405571.

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 = 1755040398 and 1755040407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185341 + ... + 194579.

It is an arithmetic number, because the mean of its divisors is an integer number (82328400).

Almost surely, 2^1755040440 is an apocalyptic number.

1755040440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1755040440 is an abundant number, since it is smaller than the sum of its proper divisors (3513977160).

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

1755040440 is a wasteful number, since it uses less digits than its factorization.

1755040440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10836 (or 10832 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 1755040440 is about 41893.2027899515. The cubic root of 1755040440 is about 1206.2269923574.

The spelling of 1755040440 in words is "one billion, seven hundred fifty-five million, forty thousand, four hundred forty".