412652744000 has 224 divisors, whose sum is σ = 1179981164544. Its totient is φ = 140020531200.

The previous prime is 412652743969. The next prime is 412652744011. The reversal of 412652744000 is 447256214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5394017 + ... + 5469983.

It is an arithmetic number, because the mean of its divisors is an integer number (5267773056).

Almost surely, 2^412652744000 is an apocalyptic number.

412652744000 is a gapful number since it is divisible by the number (40) 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 412652744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589990582272).

412652744000 is an abundant number, since it is smaller than the sum of its proper divisors (767328420544).

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

412652744000 is an equidigital number, since it uses as much as digits as its factorization.

412652744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76098 (or 76078 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The spelling of 412652744000 in words is "four hundred twelve billion, six hundred fifty-two million, seven hundred forty-four thousand".