10340113400400 has 240 divisors, whose sum is σ = 38229464550528. Its totient is φ = 2340053760000.

The previous prime is 10340113400387. The next prime is 10340113400417. The reversal of 10340113400400 is 400431104301.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5245491 + ... + 6942290.

Almost surely, 2^{10340113400400} is an apocalyptic number.

10340113400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10340113400400 is an abundant number, since it is smaller than the sum of its proper divisors (27889351150128).

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

10340113400400 is a wasteful number, since it uses less digits than its factorization.

10340113400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12187910 (or 12187899 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10340113400400 its reverse (400431104301), we get a palindrome (10740544504701).

The spelling of 10340113400400 in words is "ten trillion, three hundred forty billion, one hundred thirteen million, four hundred thousand, four hundred".