380061420480 has 504 divisors, whose sum is σ = 1523110502160. Its totient is φ = 86732513280.

The previous prime is 380061420449. The next prime is 380061420493. The reversal of 380061420480 is 84024160083.

380061420480 is a `hidden beast` number, since 3 + 80 + 0 + 61 + 42 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 107390551 + ... + 107394089.

Almost surely, 2^380061420480 is an apocalyptic number.

380061420480 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 380061420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761555251080).

380061420480 is an abundant number, since it is smaller than the sum of its proper divisors (1143049081680).

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

380061420480 is a wasteful number, since it uses less digits than its factorization.

380061420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4337 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 380061420480 in words is "three hundred eighty billion, sixty-one million, four hundred twenty thousand, four hundred eighty".