381298919040 has 768 divisors, whose sum is σ = 1511035344000. Its totient is φ = 87819780096.

The previous prime is 381298918981. The next prime is 381298919041. The reversal of 381298919040 is 40919892183.

381298919040 is a `hidden beast` number, since 381 + 2 + 98 + 91 + 90 + 4 + 0 = 666.

It is a super-2 number, since 2×381298919040² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (381298919041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118084146 + ... + 118087374.

Almost surely, 2^381298919040 is an apocalyptic number.

381298919040 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 381298919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755517672000).

381298919040 is an abundant number, since it is smaller than the sum of its proper divisors (1129736424960).

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

381298919040 is a wasteful number, since it uses less digits than its factorization.

381298919040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 381298919040 in words is "three hundred eighty-one billion, two hundred ninety-eight million, nine hundred nineteen thousand, forty".