412958143728 has 600 divisors, whose sum is σ = 1330867283328. Its totient is φ = 123526301184.

The previous prime is 412958143709. The next prime is 412958143757. The reversal of 412958143728 is 827341859214.

412958143728 is a `hidden beast` number, since 4 + 1 + 2 + 9 + 581 + 4 + 37 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1570182925 + ... + 1570183187.

Almost surely, 2^412958143728 is an apocalyptic number.

412958143728 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 412958143728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665433641664).

412958143728 is an abundant number, since it is smaller than the sum of its proper divisors (917909139600).

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

412958143728 is a wasteful number, since it uses less digits than its factorization.

412958143728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 455 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 412958143728 in words is "four hundred twelve billion, nine hundred fifty-eight million, one hundred forty-three thousand, seven hundred twenty-eight".