8359142400 has 792 divisors, whose sum is σ = 35162285184. Its totient is φ = 1857945600.

The previous prime is 8359142377. The next prime is 8359142417. The reversal of 8359142400 is 42419538.

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, 114508764 + ... + 114508836.

Almost surely, 2^8359142400 is an apocalyptic number.

8359142400 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 8359142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17581142592).

8359142400 is an abundant number, since it is smaller than the sum of its proper divisors (26803142784).

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

8359142400 is a wasteful number, since it uses less digits than its factorization.

8359142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8359142400 is about 91428.3457140071. The cubic root of 8359142400 is about 2029.4915209102.

The spelling of 8359142400 in words is "eight billion, three hundred fifty-nine million, one hundred forty-two thousand, four hundred".