1005532400415 has 16 divisors (see below), whose sum is σ = 1608902748000. Its totient is φ = 536266977792.

The previous prime is 1005532400381. The next prime is 1005532400417. The reversal of 1005532400415 is 5140042355001.

It is not a de Polignac number, because 1005532400415 - 2²¹ = 1005530303263 is a prime.

It is a super-2 number, since 2×1005532400415² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005532400417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 563190 + ... + 1525859.

It is an arithmetic number, because the mean of its divisors is an integer number (100556421750).

Almost surely, 2^{1005532400415} is an apocalyptic number.

1005532400415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1005532400415 is a deficient number, since it is larger than the sum of its proper divisors (603370347585).

1005532400415 is a wasteful number, since it uses less digits than its factorization.

1005532400415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121146.

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

Adding to 1005532400415 its reverse (5140042355001), we get a palindrome (6145574755416).

The spelling of 1005532400415 in words is "one trillion, five billion, five hundred thirty-two million, four hundred thousand, four hundred fifteen".