381250437120 has 1216 divisors, whose sum is σ = 1650874905600. Its totient is φ = 82556485632.

The previous prime is 381250437091. The next prime is 381250437121. The reversal of 381250437120 is 21734052183.

381250437120 is a `hidden beast` number, since 3 + 81 + 2 + 504 + 3 + 71 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1216).

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 (381250437121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20065812471 + ... + 20065812489.

Almost surely, 2^381250437120 is an apocalyptic number.

381250437120 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 381250437120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825437452800).

381250437120 is an abundant number, since it is smaller than the sum of its proper divisors (1269624468480).

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

381250437120 is an frugal number, since it uses more digits than its factorization.

381250437120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 381250437120 in words is "three hundred eighty-one billion, two hundred fifty million, four hundred thirty-seven thousand, one hundred twenty".