4081622400 has 576 divisors, whose sum is σ = 15710713200. Its totient is φ = 1045094400.

The previous prime is 4081622387. The next prime is 4081622401. The reversal of 4081622400 is 42261804.

4081622400 is a `hidden beast` number, since 408 + 16 + 2 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4081622401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22550310 + ... + 22550490.

Almost surely, 2^4081622400 is an apocalyptic number.

4081622400 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 4081622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7855356600).

4081622400 is an abundant number, since it is smaller than the sum of its proper divisors (11629090800).

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

4081622400 is a wasteful number, since it uses less digits than its factorization.

4081622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4081622400 is about 63887.5762570470. The cubic root of 4081622400 is about 1598.1257219501.

The spelling of 4081622400 in words is "four billion, eighty-one million, six hundred twenty-two thousand, four hundred".