383881213440 has 960 divisors, whose sum is σ = 1434484187136. Its totient is φ = 98322481152.

The previous prime is 383881213427. The next prime is 383881213459. The reversal of 383881213440 is 44312188383.

383881213440 is a `hidden beast` number, since 3 + 8 + 3 + 88 + 121 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3022686657 + ... + 3022686783.

Almost surely, 2^383881213440 is an apocalyptic number.

383881213440 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 383881213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717242093568).

383881213440 is an abundant number, since it is smaller than the sum of its proper divisors (1050602973696).

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

383881213440 is a wasteful number, since it uses less digits than its factorization.

383881213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 383881213440 in words is "three hundred eighty-three billion, eight hundred eighty-one million, two hundred thirteen thousand, four hundred forty".