380406723840 has 1728 divisors, whose sum is σ = 1654686351360. Its totient is φ = 81948672000.

The previous prime is 380406723839. The next prime is 380406723841. The reversal of 380406723840 is 48327604083.

380406723840 is a `hidden beast` number, since 3 + 8 + 0 + 406 + 7 + 238 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (380406723839) and next prime (380406723841).

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380406723841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1991658145 + ... + 1991658335.

It is an arithmetic number, because the mean of its divisors is an integer number (957573120).

Almost surely, 2^380406723840 is an apocalyptic number.

380406723840 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 380406723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827343175680).

380406723840 is an abundant number, since it is smaller than the sum of its proper divisors (1274279627520).

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

380406723840 is a wasteful number, since it uses less digits than its factorization.

380406723840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 380406723840 in words is "three hundred eighty billion, four hundred six million, seven hundred twenty-three thousand, eight hundred forty".