380253155040 has 1152 divisors, whose sum is σ = 1513166054400. Its totient is φ = 86102016000.

The previous prime is 380253154877. The next prime is 380253155071. The reversal of 380253155040 is 40551352083.

380253155040 is a `hidden beast` number, since 3 + 80 + 2 + 531 + 5 + 5 + 0 + 40 = 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 = 380253154986 and 380253155004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2902695775 + ... + 2902695905.

It is an arithmetic number, because the mean of its divisors is an integer number (1313512200).

Almost surely, 2^380253155040 is an apocalyptic number.

380253155040 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 380253155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756583027200).

380253155040 is an abundant number, since it is smaller than the sum of its proper divisors (1132912899360).

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

380253155040 is a wasteful number, since it uses less digits than its factorization.

380253155040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 380253155040 in words is "three hundred eighty billion, two hundred fifty-three million, one hundred fifty-five thousand, forty".