381294033120 has 3456 divisors, whose sum is σ = 1951525675008. Its totient is φ = 66421555200.

The previous prime is 381294033061. The next prime is 381294033121. The reversal of 381294033120 is 21330492183.

381294033120 is a `hidden beast` number, since 3 + 8 + 129 + 403 + 3 + 120 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381294033121) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 7194227014 + ... + 7194227066.

It is an arithmetic number, because the mean of its divisors is an integer number (564677568).

Almost surely, 2^381294033120 is an apocalyptic number.

381294033120 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 381294033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975762837504).

381294033120 is an abundant number, since it is smaller than the sum of its proper divisors (1570231641888).

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

381294033120 is a wasteful number, since it uses less digits than its factorization.

381294033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 381294033120 in words is "three hundred eighty-one billion, two hundred ninety-four million, thirty-three thousand, one hundred twenty".