382023545270400 has 2304 divisors, whose sum is σ = 1642440720816000. Its totient is φ = 86345102131200.

The previous prime is 382023545270377. The next prime is 382023545270401. The reversal of 382023545270400 is 4072545320283.

382023545270400 is a `hidden beast` number, since 3 + 8 + 2 + 0 + 235 + 4 + 5 + 2 + 7 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (382023545270401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19016543556 + ... + 19016563644.

Almost surely, 2^{382023545270400} is an apocalyptic number.

382023545270400 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 382023545270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821220360408000).

382023545270400 is an abundant number, since it is smaller than the sum of its proper divisors (1260417175545600).

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

382023545270400 is a wasteful number, since it uses less digits than its factorization.

382023545270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20268 (or 20234 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 382023545270400 in words is "three hundred eighty-two trillion, twenty-three billion, five hundred forty-five million, two hundred seventy thousand, four hundred".