114079378140 has 1152 divisors, whose sum is σ = 465890181120. Its totient is φ = 21946982400.

The previous prime is 114079378129. The next prime is 114079378163. The reversal of 114079378140 is 41873970411.

114079378140 = T₂₇₃ + T₂₇₄ + ... + T₈₈₁₂.

114079378140 is a `hidden beast` number, since 11 + 407 + 93 + 7 + 8 + 140 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 898262757 + ... + 898262883.

It is an arithmetic number, because the mean of its divisors is an integer number (404418560).

Almost surely, 2^114079378140 is an apocalyptic number.

114079378140 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 114079378140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232945090560).

114079378140 is an abundant number, since it is smaller than the sum of its proper divisors (351810802980).

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

114079378140 is a wasteful number, since it uses less digits than its factorization.

114079378140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 114079378140 in words is "one hundred fourteen billion, seventy-nine million, three hundred seventy-eight thousand, one hundred forty".