10401142343400 has 96 divisors (see below), whose sum is σ = 35826156979200. Its totient is φ = 2773637956800.

The previous prime is 10401142343351. The next prime is 10401142343407. The reversal of 10401142343400 is 434324110401.

10401142343400 is a `hidden beast` number, since 10 + 4 + 0 + 1 + 14 + 234 + 3 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10401142343407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 963063336 + ... + 963074135.

It is an arithmetic number, because the mean of its divisors is an integer number (373189135200).

Almost surely, 2^{10401142343400} is an apocalyptic number.

10401142343400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10401142343400 is an abundant number, since it is smaller than the sum of its proper divisors (25425014635800).

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

10401142343400 is a wasteful number, since it uses less digits than its factorization.

10401142343400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926137496 (or 1926137481 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10401142343400 its reverse (434324110401), we get a palindrome (10835466453801).

The spelling of 10401142343400 in words is "ten trillion, four hundred one billion, one hundred forty-two million, three hundred forty-three thousand, four hundred".