382412197440 has 3360 divisors, whose sum is σ = 1907120920320. Its totient is φ = 71735279616.

The previous prime is 382412197429. The next prime is 382412197477. The reversal of 382412197440 is 44791214283.

382412197440 is a `hidden beast` number, since 3 + 8 + 2 + 4 + 12 + 197 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 7215324454 + ... + 7215324506.

It is an arithmetic number, because the mean of its divisors is an integer number (567595512).

Almost surely, 2^382412197440 is an apocalyptic number.

382412197440 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 382412197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953560460160).

382412197440 is an abundant number, since it is smaller than the sum of its proper divisors (1524708722880).

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

382412197440 is a wasteful number, since it uses less digits than its factorization.

382412197440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 382412197440 in words is "three hundred eighty-two billion, four hundred twelve million, one hundred ninety-seven thousand, four hundred forty".