380976618240 has 1440 divisors, whose sum is σ = 1514513246400. Its totient is φ = 91092418560.

The previous prime is 380976618229. The next prime is 380976618241. The reversal of 380976618240 is 42816679083.

380976618240 is a `hidden beast` number, since 380 + 9 + 7 + 6 + 6 + 18 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (380976618241) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4280636116 + ... + 4280636204.

It is an arithmetic number, because the mean of its divisors is an integer number (1051745310).

Almost surely, 2^380976618240 is an apocalyptic number.

380976618240 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 380976618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757256623200).

380976618240 is an abundant number, since it is smaller than the sum of its proper divisors (1133536628160).

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

380976618240 is a wasteful number, since it uses less digits than its factorization.

380976618240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 380976618240 in words is "three hundred eighty billion, nine hundred seventy-six million, six hundred eighteen thousand, two hundred forty".