1023755040 has 432 divisors, whose sum is σ = 4436752320. Its totient is φ = 212567040.

The previous prime is 1023755039. The next prime is 1023755053. The reversal of 1023755040 is 405573201.

It is a happy number.

1023755040 is a `hidden beast` number, since 102 + 3 + 7 + 550 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1023754995 and 1023755013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 775501 + ... + 776819.

It is an arithmetic number, because the mean of its divisors is an integer number (10270260).

Almost surely, 2^1023755040 is an apocalyptic number.

1023755040 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 1023755040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218376160).

1023755040 is an abundant number, since it is smaller than the sum of its proper divisors (3412997280).

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

1023755040 is a wasteful number, since it uses less digits than its factorization.

1023755040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 1023755040 is about 31996.1722710702. The cubic root of 1023755040 is about 1007.8564610425.

The spelling of 1023755040 in words is "one billion, twenty-three million, seven hundred fifty-five thousand, forty".