1005413255040 has 64 divisors (see below), whose sum is σ = 3204754756560. Its totient is φ = 268110200832.

The previous prime is 1005413254973. The next prime is 1005413255107. The reversal of 1005413255040 is 405523145001.

It is an interprime number because it is at equal distance from previous prime (1005413254973) and next prime (1005413255107).

It is a tau number, because it is divible by the number of its divisors (64).

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 = 1005413254989 and 1005413255007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261824449 + ... + 261828288.

Almost surely, 2^{1005413255040} is an apocalyptic number.

1005413255040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005413255040 is an abundant number, since it is smaller than the sum of its proper divisors (2199341501520).

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

1005413255040 is an equidigital number, since it uses as much as digits as its factorization.

1005413255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523652759 (or 523652747 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 1005413255040 in words is "one trillion, five billion, four hundred thirteen million, two hundred fifty-five thousand, forty".