114204304410400 has 36 divisors (see below), whose sum is σ = 278801258143842. Its totient is φ = 45681721763840.

The previous prime is 114204304410397. The next prime is 114204304410403. The reversal of 114204304410400 is 4014403402411.

It is an interprime number because it is at equal distance from previous prime (114204304410397) and next prime (114204304410403).

It can be written as a sum of positive squares in 3 ways, for example, as 110958498611856 + 3245805798544 = 10533684^2 + 1801612^2 .

It is not an unprimeable number, because it can be changed into a prime (114204304410403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71377689457 + ... + 71377691056.

Almost surely, 2^{114204304410400} is an apocalyptic number.

114204304410400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114204304410400 is an abundant number, since it is smaller than the sum of its proper divisors (164596953733442).

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

114204304410400 is a wasteful number, since it uses less digits than its factorization.

114204304410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142755380533 (or 142755380520 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 114204304410400 its reverse (4014403402411), we get a palindrome (118218707812811).

The spelling of 114204304410400 in words is "one hundred fourteen trillion, two hundred four billion, three hundred four million, four hundred ten thousand, four hundred".