381415286453760 has 960 divisors, whose sum is σ = 1479111058833408. Its totient is φ = 93640943960064.

The previous prime is 381415286453749. The next prime is 381415286453837. The reversal of 381415286453760 is 67354682514183.

381415286453760 is a `hidden beast` number, since 3 + 8 + 1 + 4 + 1 + 528 + 6 + 45 + 3 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3097274749 + ... + 3097397891.

Almost surely, 2^{381415286453760} is an apocalyptic number.

381415286453760 is a gapful number since it is divisible by the number (30) 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 381415286453760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739555529416704).

381415286453760 is an abundant number, since it is smaller than the sum of its proper divisors (1097695772379648).

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

381415286453760 is a wasteful number, since it uses less digits than its factorization.

381415286453760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123577 (or 123549 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 381415286453760 in words is "three hundred eighty-one trillion, four hundred fifteen billion, two hundred eighty-six million, four hundred fifty-three thousand, seven hundred sixty".