1005414550040 has 16 divisors (see below), whose sum is σ = 2262182737680. Its totient is φ = 402165820000.

The previous prime is 1005414550013. The next prime is 1005414550057. The reversal of 1005414550040 is 400554145001.

It is a junction number, because it is equal to n+sod(n) for n = 1005414549985 and 1005414550012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12567681836 + ... + 12567681915.

It is an arithmetic number, because the mean of its divisors is an integer number (141386421105).

Almost surely, 2^{1005414550040} is an apocalyptic number.

1005414550040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005414550040 is an abundant number, since it is smaller than the sum of its proper divisors (1256768187640).

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

1005414550040 is a wasteful number, since it uses less digits than its factorization.

1005414550040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25135363762 (or 25135363758 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

Adding to 1005414550040 its reverse (400554145001), we get a palindrome (1405968695041).

The spelling of 1005414550040 in words is "one trillion, five billion, four hundred fourteen million, five hundred fifty thousand, forty".