10001334302400 has 672 divisors, whose sum is σ = 38602354291200. Its totient is φ = 2219725946880.

The previous prime is 10001334302371. The next prime is 10001334302411. The reversal of 10001334302400 is 420343310001.

10001334302400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 172708651 + ... + 172766549.

It is an arithmetic number, because the mean of its divisors is an integer number (57443979600).

Almost surely, 2^{10001334302400} is an apocalyptic number.

10001334302400 is a gapful number since it is divisible by the number (10) 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 10001334302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19301177145600).

10001334302400 is an abundant number, since it is smaller than the sum of its proper divisors (28601019988800).

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

10001334302400 is a wasteful number, since it uses less digits than its factorization.

10001334302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58081 (or 58066 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10001334302400 its reverse (420343310001), we get a palindrome (10421677612401).

The spelling of 10001334302400 in words is "ten trillion, one billion, three hundred thirty-four million, three hundred two thousand, four hundred".