412856777088 has 960 divisors, whose sum is σ = 1511949304800. Its totient is φ = 111281651712.

The previous prime is 412856777077. The next prime is 412856777117. The reversal of 412856777088 is 880777658214.

412856777088 is a `hidden beast` number, since 41 + 28 + 567 + 7 + 7 + 0 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1039941306 + ... + 1039941702.

Almost surely, 2^412856777088 is an apocalyptic number.

412856777088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412856777088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755974652400).

412856777088 is an abundant number, since it is smaller than the sum of its proper divisors (1099092527712).

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

412856777088 is a wasteful number, since it uses less digits than its factorization.

412856777088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 63.

The spelling of 412856777088 in words is "four hundred twelve billion, eight hundred fifty-six million, seven hundred seventy-seven thousand, eighty-eight".