380493642240 has 320 divisors, whose sum is σ = 1363971628800. Its totient is φ = 100532109312.

The previous prime is 380493642233. The next prime is 380493642241. The reversal of 380493642240 is 42246394083.

380493642240 is a `hidden beast` number, since 3 + 8 + 0 + 49 + 364 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×380493642240² (a number of 24 digits) contains 22 as substring.

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 (380493642241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7508829 + ... + 7559331.

It is an arithmetic number, because the mean of its divisors is an integer number (4262411340).

Almost surely, 2^380493642240 is an apocalyptic number.

380493642240 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 380493642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681985814400).

380493642240 is an abundant number, since it is smaller than the sum of its proper divisors (983477986560).

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

380493642240 is a wasteful number, since it uses less digits than its factorization.

380493642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50644 (or 50622 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 380493642240 in words is "three hundred eighty billion, four hundred ninety-three million, six hundred forty-two thousand, two hundred forty".