381061407412224 has 2496 divisors, whose sum is σ = 1502688096000000. Its totient is φ = 95536677519360.

The previous prime is 381061407412211. The next prime is 381061407412267. The reversal of 381061407412224 is 422214704160183.

381061407412224 is a `hidden beast` number, since 3 + 8 + 1 + 0 + 6 + 1 + 4 + 0 + 7 + 412 + 224 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 381061407412224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 108905802027 + ... + 108905805525.

It is an arithmetic number, because the mean of its divisors is an integer number (602038500000).

Almost surely, 2^{381061407412224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381061407412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751344048000000).

381061407412224 is an abundant number, since it is smaller than the sum of its proper divisors (1121626688587776).

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

381061407412224 is an equidigital number, since it uses as much as digits as its factorization.

381061407412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

It can be divided in two parts, 381061407 and 412224, that added together give a triangular number (381473631 = T₂₇₆₂₁).

The spelling of 381061407412224 in words is "three hundred eighty-one trillion, sixty-one billion, four hundred seven million, four hundred twelve thousand, two hundred twenty-four".