1005214415040 has 448 divisors, whose sum is σ = 3921573381120. Its totient is φ = 240348487680.

The previous prime is 1005214415039. The next prime is 1005214415063. The reversal of 1005214415040 is 405144125001.

1005214415040 is a `hidden beast` number, since 10 + 0 + 5 + 2 + 144 + 1 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1005214414995 and 1005214415013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6865477 + ... + 7010363.

Almost surely, 2^{1005214415040} is an apocalyptic number.

1005214415040 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 1005214415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960786690560).

1005214415040 is an abundant number, since it is smaller than the sum of its proper divisors (2916358966080).

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

1005214415040 is a wasteful number, since it uses less digits than its factorization.

1005214415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144997 (or 144981 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 1005214415040 in words is "one trillion, five billion, two hundred fourteen million, four hundred fifteen thousand, forty".