3824881255440 has 1920 divisors, whose sum is σ = 16459026554880. Its totient is φ = 806215680000.

The previous prime is 3824881255411. The next prime is 3824881255451. The reversal of 3824881255440 is 445521884283.

3824881255440 is a `hidden beast` number, since 3 + 8 + 2 + 4 + 8 + 81 + 2 + 554 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25330339365 + ... + 25330339515.

It is an arithmetic number, because the mean of its divisors is an integer number (8572409664).

Almost surely, 2^{3824881255440} is an apocalyptic number.

3824881255440 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 3824881255440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8229513277440).

3824881255440 is an abundant number, since it is smaller than the sum of its proper divisors (12634145299440).

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

3824881255440 is a wasteful number, since it uses less digits than its factorization.

3824881255440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 3824881255440 in words is "three trillion, eight hundred twenty-four billion, eight hundred eighty-one million, two hundred fifty-five thousand, four hundred forty".