381449502720 has 1536 divisors, whose sum is σ = 1635099298560. Its totient is φ = 84085309440.

The previous prime is 381449502713. The next prime is 381449502727. The reversal of 381449502720 is 27205944183.

381449502720 is a `hidden beast` number, since 3 + 81 + 4 + 49 + 502 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (381449502713) and next prime (381449502727).

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381449502727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5693276127 + ... + 5693276193.

Almost surely, 2^381449502720 is an apocalyptic number.

381449502720 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 381449502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817549649280).

381449502720 is an abundant number, since it is smaller than the sum of its proper divisors (1253649795840).

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

381449502720 is an equidigital number, since it uses as much as digits as its factorization.

381449502720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 101 counting only the distinct ones).

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

The spelling of 381449502720 in words is "three hundred eighty-one billion, four hundred forty-nine million, five hundred two thousand, seven hundred twenty".