412031641248 has 144 divisors (see below), whose sum is σ = 1203866805960. Its totient is φ = 133578160128.

The previous prime is 412031641199. The next prime is 412031641253. The reversal of 412031641248 is 842146130214.

412031641248 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 3 + 1 + 641 + 2 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 265872234384 + 146159406864 = 515628^2 + 382308^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33123286 + ... + 33135722.

Almost surely, 2^412031641248 is an apocalyptic number.

412031641248 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 412031641248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601933402980).

412031641248 is an abundant number, since it is smaller than the sum of its proper divisors (791835164712).

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

412031641248 is a wasteful number, since it uses less digits than its factorization.

412031641248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15599 (or 15588 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 412031641248 in words is "four hundred twelve billion, thirty-one million, six hundred forty-one thousand, two hundred forty-eight".