381887447040 has 912 divisors, whose sum is σ = 1511456506560. Its totient is φ = 91729428480.

The previous prime is 381887447021. The next prime is 381887447047. The reversal of 381887447040 is 40744788183.

381887447040 is a `hidden beast` number, since 3 + 81 + 8 + 87 + 447 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381887447047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3503554506 + ... + 3503554614.

Almost surely, 2^381887447040 is an apocalyptic number.

381887447040 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 381887447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755728253280).

381887447040 is an abundant number, since it is smaller than the sum of its proper divisors (1129569059520).

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

381887447040 is an frugal number, since it uses more digits than its factorization.

381887447040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 381887447040 in words is "three hundred eighty-one billion, eight hundred eighty-seven million, four hundred forty-seven thousand, forty".