415994164169040 has 200 divisors, whose sum is σ = 1529798147265960. Its totient is φ = 104406378430464.

The previous prime is 415994164169027. The next prime is 415994164169063. The reversal of 415994164169040 is 40961461499514.

415994164169040 is a `hidden beast` number, since 4 + 1 + 5 + 9 + 94 + 1 + 6 + 416 + 90 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 196264297038096 + 219729867130944 = 14009436^2 + 14823288^2 .

It is a super-2 number, since 2×415994164169040² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1888026025 + ... + 1888246344.

Almost surely, 2^{415994164169040} is an apocalyptic number.

415994164169040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415994164169040 is an abundant number, since it is smaller than the sum of its proper divisors (1113803983096920).

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

415994164169040 is a wasteful number, since it uses less digits than its factorization.

415994164169040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776272411 (or 3776272396 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 415994164169040 in words is "four hundred fifteen trillion, nine hundred ninety-four billion, one hundred sixty-four million, one hundred sixty-nine thousand, forty".