10004340031400 has 96 divisors (see below), whose sum is σ = 27326540052000. Its totient is φ = 3358100140800.

The previous prime is 10004340031379. The next prime is 10004340031421. The reversal of 10004340031400 is 413004340001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10004340031379) and next prime (10004340031421).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 174872450 + ... + 174929649.

It is an arithmetic number, because the mean of its divisors is an integer number (284651458875).

Almost surely, 2^{10004340031400} is an apocalyptic number.

10004340031400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004340031400 is an abundant number, since it is smaller than the sum of its proper divisors (17322200020600).

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

10004340031400 is a wasteful number, since it uses less digits than its factorization.

10004340031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349802139 (or 349802130 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10004340031400 its reverse (413004340001), we get a palindrome (10417344371401).

The spelling of 10004340031400 in words is "ten trillion, four billion, three hundred forty million, thirty-one thousand, four hundred".