387962142912 has 224 divisors, whose sum is σ = 1183418308800. Its totient is φ = 124485451776.

The previous prime is 387962142899. The next prime is 387962142917. The reversal of 387962142912 is 219241269783.

387962142912 is a `hidden beast` number, since 3 + 8 + 7 + 9 + 621 + 4 + 2 + 9 + 1 + 2 = 666.

It is a super-2 number, since 2×387962142912² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (387962142917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16876258 + ... + 16899230.

It is an arithmetic number, because the mean of its divisors is an integer number (5283117450).

Almost surely, 2^387962142912 is an apocalyptic number.

387962142912 is a gapful number since it is divisible by the number (32) 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 387962142912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591709154400).

387962142912 is an abundant number, since it is smaller than the sum of its proper divisors (795456165888).

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

387962142912 is a wasteful number, since it uses less digits than its factorization.

387962142912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23360 (or 23344 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 387962142912 in words is "three hundred eighty-seven billion, nine hundred sixty-two million, one hundred forty-two thousand, nine hundred twelve".