4040222400 has 252 divisors, whose sum is σ = 14749954752. Its totient is φ = 1048135680.

The previous prime is 4040222399. The next prime is 4040222419. The reversal of 4040222400 is 42220404.

4040222400 is a `hidden beast` number, since 4 + 0 + 40 + 222 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 529009 + ... + 536591.

Almost surely, 2^4040222400 is an apocalyptic number.

4040222400 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 4040222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7374977376).

4040222400 is an abundant number, since it is smaller than the sum of its proper divisors (10709732352).

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

4040222400 is a wasteful number, since it uses less digits than its factorization.

4040222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7648 (or 7630 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4040222400 is about 63562.7438048422. The cubic root of 4040222400 is about 1592.7040731422.

Adding to 4040222400 its reverse (42220404), we get a palindrome (4082442804).

The spelling of 4040222400 in words is "four billion, forty million, two hundred twenty-two thousand, four hundred".