4140793800 has 288 divisors, whose sum is σ = 16338329280. Its totient is φ = 926553600.

The previous prime is 4140793793. The next prime is 4140793837. The reversal of 4140793800 is 83970414.

It is a happy number.

It is a Cunningham number, because it is equal to 64349²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 249357 + ... + 265443.

It is an arithmetic number, because the mean of its divisors is an integer number (56730310).

Almost surely, 2^4140793800 is an apocalyptic number.

4140793800 is a gapful number since it is divisible by the number (40) 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 4140793800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8169164640).

4140793800 is an abundant number, since it is smaller than the sum of its proper divisors (12197535480).

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

4140793800 is a wasteful number, since it uses less digits than its factorization.

4140793800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16133 (or 16121 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4140793800 is about 64348.9999922299. Note that the first 5 decimals coincide. The cubic root of 4140793800 is about 1605.8113928075.

The spelling of 4140793800 in words is "four billion, one hundred forty million, seven hundred ninety-three thousand, eight hundred".