1415306450340 has 84 divisors (see below), whose sum is σ = 4456176857244. Its totient is φ = 377415049536.

The previous prime is 1415306450333. The next prime is 1415306450347. The reversal of 1415306450340 is 430546035141.

1415306450340 is a `hidden beast` number, since 1 + 4 + 1 + 5 + 3 + 0 + 645 + 0 + 3 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1415306450333) and next prime (1415306450347).

It can be written as a sum of positive squares in 2 ways, for example, as 733859502336 + 681446948004 = 856656^2 + 825498^2 .

It is a super-2 number, since 2×1415306450340² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1415306450295 and 1415306450304.

It is not an unprimeable number, because it can be changed into a prime (1415306450347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 48521307 + ... + 48550466.

It is an arithmetic number, because the mean of its divisors is an integer number (53049724491).

Almost surely, 2^{1415306450340} is an apocalyptic number.

1415306450340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1415306450340 is an abundant number, since it is smaller than the sum of its proper divisors (3040870406904).

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

1415306450340 is an equidigital number, since it uses as much as digits as its factorization.

1415306450340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97071800 (or 97071783 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 1415306450340 in words is "one trillion, four hundred fifteen billion, three hundred six million, four hundred fifty thousand, three hundred forty".