380157420240 has 480 divisors, whose sum is σ = 1433304512640. Its totient is φ = 89652326400.

The previous prime is 380157420239. The next prime is 380157420299. The reversal of 380157420240 is 42024751083.

It is a happy number.

380157420240 is a `hidden beast` number, since 3 + 80 + 1 + 574 + 2 + 0 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 380157420195 and 380157420204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35553295 + ... + 35563985.

It is an arithmetic number, because the mean of its divisors is an integer number (2986051068).

Almost surely, 2^380157420240 is an apocalyptic number.

380157420240 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 380157420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716652256320).

380157420240 is an abundant number, since it is smaller than the sum of its proper divisors (1053147092400).

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

380157420240 is a wasteful number, since it uses less digits than its factorization.

380157420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10883 (or 10874 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 380157420240 in words is "three hundred eighty billion, one hundred fifty-seven million, four hundred twenty thousand, two hundred forty".