4253514552400 has 120 divisors (see below), whose sum is σ = 10629861442200. Its totient is φ = 1633659955200.

The previous prime is 4253514552359. The next prime is 4253514552403. The reversal of 4253514552400 is 42554153524.

4253514552400 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 12 ways, for example, as 2027343127104 + 2226171425296 = 1423848^2 + 1492036^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4253514552403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1086666 + ... + 3112534.

It is an arithmetic number, because the mean of its divisors is an integer number (88582178685).

Almost surely, 2^{4253514552400} is an apocalyptic number.

4253514552400 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 4253514552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5314930721100).

4253514552400 is an abundant number, since it is smaller than the sum of its proper divisors (6376346889800).

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

4253514552400 is a wasteful number, since it uses less digits than its factorization.

4253514552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026097 (or 2026086 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 40.

The spelling of 4253514552400 in words is "four trillion, two hundred fifty-three billion, five hundred fourteen million, five hundred fifty-two thousand, four hundred".