1005555533440 has 32 divisors (see below), whose sum is σ = 2403906198660. Its totient is φ = 402222213120.

The previous prime is 1005555533429. The next prime is 1005555533441. The reversal of 1005555533440 is 443355555001.

It is a happy number.

1005555533440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 969689233984 + 35866299456 = 984728^2 + 189384^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1005555533440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1005555533393 and 1005555533402.

It is not an unprimeable number, because it can be changed into a prime (1005555533441) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 785589621 + ... + 785590900.

Almost surely, 2^{1005555533440} is an apocalyptic number.

1005555533440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005555533440 is an abundant number, since it is smaller than the sum of its proper divisors (1398350665220).

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

1005555533440 is an equidigital number, since it uses as much as digits as its factorization.

1005555533440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571180540 (or 1571180528 counting only the distinct ones).

The product of its (nonzero) digits is 450000, while the sum is 40.

The spelling of 1005555533440 in words is "one trillion, five billion, five hundred fifty-five million, five hundred thirty-three thousand, four hundred forty".