114215270400 has 2304 divisors, whose sum is σ = 555714432000. Its totient is φ = 22295347200.

The previous prime is 114215270387. The next prime is 114215270413. The reversal of 114215270400 is 4072512411.

114215270400 is a `hidden beast` number, since 1 + 1 + 42 + 152 + 70 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (114215270387) and next prime (114215270413).

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3086899182 + ... + 3086899218.

It is an arithmetic number, because the mean of its divisors is an integer number (241195500).

Almost surely, 2^114215270400 is an apocalyptic number.

114215270400 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 114215270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277857216000).

114215270400 is an abundant number, since it is smaller than the sum of its proper divisors (441499161600).

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

114215270400 is a wasteful number, since it uses less digits than its factorization.

114215270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 114215270400 its reverse (4072512411), we get a palindrome (118287782811).

The spelling of 114215270400 in words is "one hundred fourteen billion, two hundred fifteen million, two hundred seventy thousand, four hundred".