412933023552 has 448 divisors, whose sum is σ = 1354889742336. Its totient is φ = 108318228480.

The previous prime is 412933023523. The next prime is 412933023577. The reversal of 412933023552 is 255320339214.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 412933023552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163796052 + ... + 163798572.

Almost surely, 2^412933023552 is an apocalyptic number.

412933023552 is a gapful number since it is divisible by the number (42) 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 412933023552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677444871168).

412933023552 is an abundant number, since it is smaller than the sum of its proper divisors (941956718784).

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

412933023552 is a wasteful number, since it uses less digits than its factorization.

412933023552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The spelling of 412933023552 in words is "four hundred twelve billion, nine hundred thirty-three million, twenty-three thousand, five hundred fifty-two".