114142320440400 has 240 divisors, whose sum is σ = 418720673161728. Its totient is φ = 26036536512000.

The previous prime is 114142320440311. The next prime is 114142320440419. The reversal of 114142320440400 is 4044023241411.

It is a happy number.

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 (30).

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, 9713046 + ... + 17961845.

Almost surely, 2^{114142320440400} is an apocalyptic number.

114142320440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114142320440400 is an abundant number, since it is smaller than the sum of its proper divisors (304578352721328).

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

114142320440400 is a wasteful number, since it uses less digits than its factorization.

114142320440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27675410 (or 27675399 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 114142320440400 its reverse (4044023241411), we get a palindrome (118186343681811).

The spelling of 114142320440400 in words is "one hundred fourteen trillion, one hundred forty-two billion, three hundred twenty million, four hundred forty thousand, four hundred".