6401453018400 has 432 divisors, whose sum is σ = 24828777294048. Its totient is φ = 1551865075200.

The previous prime is 6401453018393. The next prime is 6401453018407. The reversal of 6401453018400 is 48103541046.

6401453018400 is a `hidden beast` number, since 6 + 40 + 1 + 4 + 530 + 1 + 84 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6401453018393) and next prime (6401453018407).

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 (6401453018407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9249207 + ... + 9917193.

It is an arithmetic number, because the mean of its divisors is an integer number (57474021514).

Almost surely, 2^{6401453018400} is an apocalyptic number.

6401453018400 is a gapful number since it is divisible by the number (60) 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 6401453018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12414388647024).

6401453018400 is an abundant number, since it is smaller than the sum of its proper divisors (18427324275648).

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

6401453018400 is a wasteful number, since it uses less digits than its factorization.

6401453018400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668046 (or 668008 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 6401453018400 its reverse (48103541046), we get a palindrome (6449556559446).

The spelling of 6401453018400 in words is "six trillion, four hundred one billion, four hundred fifty-three million, eighteen thousand, four hundred".