6401333400 has 384 divisors, whose sum is σ = 24958402560. Its totient is φ = 1318464000.

The previous prime is 6401333383. The next prime is 6401333429. The reversal of 6401333400 is 43331046.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5866855 + ... + 5867945.

It is an arithmetic number, because the mean of its divisors is an integer number (64995840).

Almost surely, 2^6401333400 is an apocalyptic number.

6401333400 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 6401333400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12479201280).

6401333400 is an abundant number, since it is smaller than the sum of its proper divisors (18557069160).

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

6401333400 is a wasteful number, since it uses less digits than its factorization.

6401333400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 6401333400 is about 80008.3333159740. Note that the first 4 decimals coincide. The cubic root of 6401333400 is about 1856.7644639614.

Adding to 6401333400 its reverse (43331046), we get a palindrome (6444664446).

The spelling of 6401333400 in words is "six billion, four hundred one million, three hundred thirty-three thousand, four hundred".