8364531042000 has 1280 divisors, whose sum is σ = 35625148416000. Its totient is φ = 1835758080000.

The previous prime is 8364531041953. The next prime is 8364531042011. The reversal of 8364531042000 is 2401354638.

8364531042000 is a `hidden beast` number, since 8 + 3 + 645 + 3 + 1 + 0 + 4 + 2 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1535055276 + ... + 1535060724.

It is an arithmetic number, because the mean of its divisors is an integer number (27832147200).

Almost surely, 2^{8364531042000} is an apocalyptic number.

8364531042000 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 8364531042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17812574208000).

8364531042000 is an abundant number, since it is smaller than the sum of its proper divisors (27260617374000).

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

8364531042000 is a wasteful number, since it uses less digits than its factorization.

8364531042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5650 (or 5628 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 8364531042000 its reverse (2401354638), we get a palindrome (8366932396638).

The spelling of 8364531042000 in words is "eight trillion, three hundred sixty-four billion, five hundred thirty-one million, forty-two thousand".