415311404040 has 192 divisors, whose sum is σ = 1489044014640. Its totient is φ = 99737026560.

The previous prime is 415311404033. The next prime is 415311404051. The reversal of 415311404040 is 40404113514.

415311404040 is a `hidden beast` number, since 41 + 531 + 14 + 0 + 40 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 118615492836 + 296695911204 = 344406^2 + 544698^2 .

It is a super-2 number, since 2×415311404040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 415311403995 and 415311404013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 890337 + ... + 1274096.

Almost surely, 2^415311404040 is an apocalyptic number.

415311404040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415311404040 is an abundant number, since it is smaller than the sum of its proper divisors (1073732610600).

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

415311404040 is a wasteful number, since it uses less digits than its factorization.

415311404040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164504 (or 2164497 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 415311404040 its reverse (40404113514), we get a palindrome (455715517554).

The spelling of 415311404040 in words is "four hundred fifteen billion, three hundred eleven million, four hundred four thousand, forty".