381090240000 has 600 divisors, whose sum is σ = 1387722030552. Its totient is φ = 100638720000.

The previous prime is 381090239983. The next prime is 381090240061. The reversal of 381090240000 is 42090183.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 325439415 + ... + 325440585.

Almost surely, 2^381090240000 is an apocalyptic number.

381090240000 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 381090240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693861015276).

381090240000 is an abundant number, since it is smaller than the sum of its proper divisors (1006631790552).

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

381090240000 is a wasteful number, since it uses less digits than its factorization.

381090240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 381090240000 in words is "three hundred eighty-one billion, ninety million, two hundred forty thousand".