114531440030400 has 336 divisors, whose sum is σ = 397979755094016. Its totient is φ = 28736638894080.

The previous prime is 114531440030393. The next prime is 114531440030459. The reversal of 114531440030400 is 4030044135411.

It is a super-2 number, since 2×114531440030400² (a number of 29 digits) contains 22 as substring.

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

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, 277805217 + ... + 278217183.

Almost surely, 2^{114531440030400} is an apocalyptic number.

114531440030400 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 114531440030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198989877547008).

114531440030400 is an abundant number, since it is smaller than the sum of its proper divisors (283448315063616).

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

114531440030400 is a wasteful number, since it uses less digits than its factorization.

114531440030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415416 (or 415401 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 114531440030400 its reverse (4030044135411), we get a palindrome (118561484165811).

The spelling of 114531440030400 in words is "one hundred fourteen trillion, five hundred thirty-one billion, four hundred forty million, thirty thousand, four hundred".