1505404415412 has 72 divisors (see below), whose sum is σ = 3844162019880. Its totient is φ = 496683475200.

The previous prime is 1505404415341. The next prime is 1505404415477. The reversal of 1505404415412 is 2145144045051.

1505404415412 is a `hidden beast` number, since 1 + 50 + 540 + 4 + 4 + 1 + 54 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1368773642916 + 136630772496 = 1169946^2 + 369636^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 12349014 + ... + 12470322.

It is an arithmetic number, because the mean of its divisors is an integer number (53391139165).

Almost surely, 2^{1505404415412} is an apocalyptic number.

1505404415412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1505404415412 is an abundant number, since it is smaller than the sum of its proper divisors (2338757604468).

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

1505404415412 is a wasteful number, since it uses less digits than its factorization.

1505404415412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124833 (or 124828 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 1505404415412 in words is "one trillion, five hundred five billion, four hundred four million, four hundred fifteen thousand, four hundred twelve".