387163324981440 has 1344 divisors, whose sum is σ = 1604366954449920. Its totient is φ = 87629911326720.

The previous prime is 387163324981429. The next prime is 387163324981483. The reversal of 387163324981440 is 44189423361783.

387163324981440 is a `hidden beast` number, since 3 + 8 + 7 + 1 + 63 + 32 + 498 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62335099935 + ... + 62335106145.

Almost surely, 2^{387163324981440} is an apocalyptic number.

387163324981440 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 387163324981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802183477224960).

387163324981440 is an abundant number, since it is smaller than the sum of its proper divisors (1217203629468480).

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

387163324981440 is a wasteful number, since it uses less digits than its factorization.

387163324981440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7667 (or 7644 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 387163324981440 in words is "three hundred eighty-seven trillion, one hundred sixty-three billion, three hundred twenty-four million, nine hundred eighty-one thousand, four hundred forty".