4081835525904 has 400 divisors, whose sum is σ = 12584702706048. Its totient is φ = 1272848338944.

The previous prime is 4081835525891. The next prime is 4081835525941. The reversal of 4081835525904 is 4095255381804.

4081835525904 is a `hidden beast` number, since 4 + 0 + 8 + 1 + 83 + 552 + 5 + 9 + 0 + 4 = 666.

It is a super-2 number, since 2×4081835525904² (a number of 26 digits) contains 22 as substring.

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

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 79 ways as a sum of consecutive naturals, for example, 4221132429 + ... + 4221133395.

Almost surely, 2^{4081835525904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4081835525904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6292351353024).

4081835525904 is an abundant number, since it is smaller than the sum of its proper divisors (8502867180144).

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

4081835525904 is a wasteful number, since it uses less digits than its factorization.

4081835525904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 4081835525904 in words is "four trillion, eighty-one billion, eight hundred thirty-five million, five hundred twenty-five thousand, nine hundred four".