368287504140 has 144 divisors (see below), whose sum is σ = 1094085070848. Its totient is φ = 92537377152.

The previous prime is 368287504049. The next prime is 368287504147. The reversal of 368287504140 is 41405782863.

It is a self number, because there is not a number n which added to its sum of digits gives 368287504140.

It is not an unprimeable number, because it can be changed into a prime (368287504147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2039989 + ... + 2213171.

It is an arithmetic number, because the mean of its divisors is an integer number (7597812992).

Almost surely, 2^368287504140 is an apocalyptic number.

368287504140 is a gapful number since it is divisible by the number (30) 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 368287504140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547042535424).

368287504140 is an abundant number, since it is smaller than the sum of its proper divisors (725797566708).

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

368287504140 is a wasteful number, since it uses less digits than its factorization.

368287504140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173308 (or 173283 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 368287504140 in words is "three hundred sixty-eight billion, two hundred eighty-seven million, five hundred four thousand, one hundred forty".