4053253406400 has 252 divisors, whose sum is σ = 15715876568184. Its totient is φ = 982606848000.

The previous prime is 4053253406387. The next prime is 4053253406417. The reversal of 4053253406400 is 46043523504.

4053253406400 is a `hidden beast` number, since 4 + 0 + 5 + 3 + 2 + 5 + 3 + 4 + 0 + 640 + 0 = 666.

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

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, 12635961 + ... + 12952760.

Almost surely, 2^{4053253406400} is an apocalyptic number.

4053253406400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4053253406400 is an abundant number, since it is smaller than the sum of its proper divisors (11662623161784).

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

4053253406400 is a wasteful number, since it uses less digits than its factorization.

4053253406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25588760 (or 25588742 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 4053253406400 its reverse (46043523504), we get a palindrome (4099296929904).

The spelling of 4053253406400 in words is "four trillion, fifty-three billion, two hundred fifty-three million, four hundred six thousand, four hundred".