381639263040 has 560 divisors, whose sum is σ = 1584540790272. Its totient is φ = 85373927424.

The previous prime is 381639263017. The next prime is 381639263041. The reversal of 381639263040 is 40362936183.

381639263040 is a `hidden beast` number, since 3 + 8 + 1 + 6 + 3 + 9 + 2 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 (381639263041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8505304 + ... + 8550056.

Almost surely, 2^381639263040 is an apocalyptic number.

381639263040 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 381639263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792270395136).

381639263040 is an abundant number, since it is smaller than the sum of its proper divisors (1202901527232).

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

381639263040 is a wasteful number, since it uses less digits than its factorization.

381639263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44836 (or 44817 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 381639263040 in words is "three hundred eighty-one billion, six hundred thirty-nine million, two hundred sixty-three thousand, forty".