387481425408 has 2560 divisors, whose sum is σ = 1697034240000. Its totient is φ = 85837086720.

The previous prime is 387481425367. The next prime is 387481425491. The reversal of 387481425408 is 804524184783.

387481425408 is a `hidden beast` number, since 3 + 87 + 4 + 8 + 14 + 2 + 540 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 16847018485 + ... + 16847018507.

It is an arithmetic number, because the mean of its divisors is an integer number (662904000).

Almost surely, 2^387481425408 is an apocalyptic number.

387481425408 is a gapful number since it is divisible by the number (38) 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 387481425408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848517120000).

387481425408 is an abundant number, since it is smaller than the sum of its proper divisors (1309552814592).

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

387481425408 is a wasteful number, since it uses less digits than its factorization.

387481425408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 387481425408 in words is "three hundred eighty-seven billion, four hundred eighty-one million, four hundred twenty-five thousand, four hundred eight".