1005214024440 has 48 divisors (see below), whose sum is σ = 3266945580600. Its totient is φ = 268057073088.

The previous prime is 1005214024411. The next prime is 1005214024457. The reversal of 1005214024440 is 444204125001.

1005214024440 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 214 + 0 + 2 + 4 + 440 = 666.

1005214024440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1396130230 + ... + 1396130949.

Almost surely, 2^{1005214024440} is an apocalyptic number.

1005214024440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005214024440 is an abundant number, since it is smaller than the sum of its proper divisors (2261731556160).

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

1005214024440 is a wasteful number, since it uses less digits than its factorization.

1005214024440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792261196 (or 2792261189 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 1005214024440 its reverse (444204125001), we get a palindrome (1449418149441).

It can be divided in two parts, 100521 and 4024440, that added together give a square (4124961 = 2031²).

The spelling of 1005214024440 in words is "one trillion, five billion, two hundred fourteen million, twenty-four thousand, four hundred forty".