415277086381872 has 2560 divisors, whose sum is σ = 1461172398981120. Its totient is φ = 99583131648000.

The previous prime is 415277086381819. The next prime is 415277086381921. The reversal of 415277086381872 is 278183680772514.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a junction number, because it is equal to n+sod(n) for n = 415277086381797 and 415277086381806.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 797076940972 + ... + 797076941492.

It is an arithmetic number, because the mean of its divisors is an integer number (570770468352).

Almost surely, 2^{415277086381872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415277086381872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730586199490560).

415277086381872 is an abundant number, since it is smaller than the sum of its proper divisors (1045895312599248).

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

415277086381872 is a wasteful number, since it uses less digits than its factorization.

415277086381872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 252887040, while the sum is 69.

The spelling of 415277086381872 in words is "four hundred fifteen trillion, two hundred seventy-seven billion, eighty-six million, three hundred eighty-one thousand, eight hundred seventy-two".