8140915200 has 240 divisors, whose sum is σ = 29339345376. Its totient is φ = 1973452800.

The previous prime is 8140915193. The next prime is 8140915207. The reversal of 8140915200 is 25190418.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8140915193) and next prime (8140915207).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (8140915207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412764 + ... + 432036.

Almost surely, 2^8140915200 is an apocalyptic number.

8140915200 is a gapful number since it is divisible by the number (80) 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 8140915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14669672688).

8140915200 is an abundant number, since it is smaller than the sum of its proper divisors (21198430176).

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

8140915200 is a wasteful number, since it uses less digits than its factorization.

8140915200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19315 (or 19294 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 8140915200 is about 90227.0203431322. The cubic root of 8140915200 is about 2011.6746519817.

The spelling of 8140915200 in words is "eight billion, one hundred forty million, nine hundred fifteen thousand, two hundred".