4052202251400 has 72 divisors (see below), whose sum is σ = 13608645900330. Its totient is φ = 1080587266560.

The previous prime is 4052202251371. The next prime is 4052202251401. The reversal of 4052202251400 is 41522022504.

4052202251400 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 2 + 0 + 2 + 251 + 400 = 666.

4052202251400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2004733164996 + 2047469086404 = 1415886^2 + 1430898^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (4052202251401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1125609937 + ... + 1125613536.

Almost surely, 2^{4052202251400} is an apocalyptic number.

4052202251400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4052202251400 is an abundant number, since it is smaller than the sum of its proper divisors (9556443648930).

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

4052202251400 is a wasteful number, since it uses less digits than its factorization.

4052202251400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251223495 (or 2251223483 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 4052202251400 its reverse (41522022504), we get a palindrome (4093724273904).

The spelling of 4052202251400 in words is "four trillion, fifty-two billion, two hundred two million, two hundred fifty-one thousand, four hundred".