1005510420340 has 24 divisors (see below), whose sum is σ = 2116192409352. Its totient is φ = 401324067840.

The previous prime is 1005510420337. The next prime is 1005510420377. The reversal of 1005510420340 is 430240155001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 115782311824 + 889728108516 = 340268^2 + 943254^2 .

It is a super-2 number, since 2×1005510420340² (a number of 25 digits) contains 22 as substring.

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, 54996901 + ... + 55015180.

It is an arithmetic number, because the mean of its divisors is an integer number (88174683723).

Almost surely, 2^{1005510420340} is an apocalyptic number.

1005510420340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005510420340 is an abundant number, since it is smaller than the sum of its proper divisors (1110681989012).

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

1005510420340 is a wasteful number, since it uses less digits than its factorization.

1005510420340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110012547 (or 110012545 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 1005510420340 its reverse (430240155001), we get a palindrome (1435750575341).

The spelling of 1005510420340 in words is "one trillion, five billion, five hundred ten million, four hundred twenty thousand, three hundred forty".