4082811451200 has 504 divisors, whose sum is σ = 14991771465216. Its totient is φ = 1052757504000.

The previous prime is 4082811451193. The next prime is 4082811451267. The reversal of 4082811451200 is 21541182804.

4082811451200 is a `hidden beast` number, since 4 + 0 + 8 + 28 + 114 + 512 + 0 + 0 = 666.

4082811451200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 674507374 + ... + 674513426.

It is an arithmetic number, because the mean of its divisors is an integer number (29745578304).

Almost surely, 2^{4082811451200} is an apocalyptic number.

4082811451200 is a gapful number since it is divisible by the number (40) 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 4082811451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7495885732608).

4082811451200 is an abundant number, since it is smaller than the sum of its proper divisors (10908960014016).

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

4082811451200 is a wasteful number, since it uses less digits than its factorization.

4082811451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7623 (or 7605 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 4082811451200 in words is "four trillion, eighty-two billion, eight hundred eleven million, four hundred fifty-one thousand, two hundred".