381958718400 has 672 divisors, whose sum is σ = 1660509434880. Its totient is φ = 83507466240.

The previous prime is 381958718387. The next prime is 381958718413. The reversal of 381958718400 is 4817859183.

381958718400 is a `hidden beast` number, since 3 + 8 + 1 + 9 + 587 + 18 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (381958718387) and next prime (381958718413).

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 6927742 + ... + 6982658.

Almost surely, 2^381958718400 is an apocalyptic number.

381958718400 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 381958718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830254717440).

381958718400 is an abundant number, since it is smaller than the sum of its proper divisors (1278550716480).

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

381958718400 is a wasteful number, since it uses less digits than its factorization.

381958718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54978 (or 54957 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 381958718400 in words is "three hundred eighty-one billion, nine hundred fifty-eight million, seven hundred eighteen thousand, four hundred".