114266098440 has 384 divisors, whose sum is σ = 413489232000. Its totient is φ = 28055559168.

The previous prime is 114266098421. The next prime is 114266098511. The reversal of 114266098440 is 44890662411.

114266098440 is a `hidden beast` number, since 1 + 14 + 26 + 609 + 8 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129406239 + ... + 129407121.

It is an arithmetic number, because the mean of its divisors is an integer number (1076794875).

Almost surely, 2^114266098440 is an apocalyptic number.

114266098440 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 114266098440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206744616000).

114266098440 is an abundant number, since it is smaller than the sum of its proper divisors (299223133560).

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

114266098440 is a wasteful number, since it uses less digits than its factorization.

114266098440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

It can be divided in two parts, 1142660 and 98440, that added together give a triangular number (1241100 = T₁₅₇₅).

The spelling of 114266098440 in words is "one hundred fourteen billion, two hundred sixty-six million, ninety-eight thousand, four hundred forty".