114464420400 has 480 divisors, whose sum is σ = 432581741568. Its totient is φ = 25558630400.

The previous prime is 114464420351. The next prime is 114464420437. The reversal of 114464420400 is 4024464411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10541374 + ... + 10552226.

Almost surely, 2^114464420400 is an apocalyptic number.

114464420400 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 114464420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216290870784).

114464420400 is an abundant number, since it is smaller than the sum of its proper divisors (318117321168).

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

114464420400 is a wasteful number, since it uses less digits than its factorization.

114464420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10949 (or 10938 counting only the distinct ones).

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

Adding to 114464420400 its reverse (4024464411), we get a palindrome (118488884811).

The spelling of 114464420400 in words is "one hundred fourteen billion, four hundred sixty-four million, four hundred twenty thousand, four hundred".