412938570240 has 2880 divisors, whose sum is σ = 1956114800640. Its totient is φ = 82771476480.

The previous prime is 412938570173. The next prime is 412938570241. The reversal of 412938570240 is 42075839214.

412938570240 is a `hidden beast` number, since 4 + 1 + 2 + 9 + 38 + 570 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (412938570241) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 13320599025 + ... + 13320599055.

It is an arithmetic number, because the mean of its divisors is an integer number (679206528).

Almost surely, 2^412938570240 is an apocalyptic number.

412938570240 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 412938570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978057400320).

412938570240 is an abundant number, since it is smaller than the sum of its proper divisors (1543176230400).

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

412938570240 is a wasteful number, since it uses less digits than its factorization.

412938570240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 412938570240 in words is "four hundred twelve billion, nine hundred thirty-eight million, five hundred seventy thousand, two hundred forty".