4045201268400 has 360 divisors, whose sum is σ = 14566347874624. Its totient is φ = 1078094188800.

The previous prime is 4045201268363. The next prime is 4045201268401. The reversal of 4045201268400 is 48621025404.

4045201268400 is a `hidden beast` number, since 4 + 0 + 4 + 520 + 126 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (4045201268401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 181461255 + ... + 181483545.

Almost surely, 2^{4045201268400} is an apocalyptic number.

4045201268400 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 4045201268400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7283173937312).

4045201268400 is an abundant number, since it is smaller than the sum of its proper divisors (10521146606224).

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

4045201268400 is a wasteful number, since it uses less digits than its factorization.

4045201268400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24191 (or 24168 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 4045201268400 in words is "four trillion, forty-five billion, two hundred one million, two hundred sixty-eight thousand, four hundred".