8387432202240 has 1440 divisors, whose sum is σ = 37364540391360. Its totient is φ = 1769358753792.

The previous prime is 8387432202217. The next prime is 8387432202271. The reversal of 8387432202240 is 422022347838.

8387432202240 is a `hidden beast` number, since 8 + 3 + 8 + 7 + 432 + 202 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×8387432202240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1408939104 + ... + 1408945056.

It is an arithmetic number, because the mean of its divisors is an integer number (25947597494).

Almost surely, 2^{8387432202240} is an apocalyptic number.

8387432202240 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 8387432202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18682270195680).

8387432202240 is an abundant number, since it is smaller than the sum of its proper divisors (28977108189120).

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

8387432202240 is a wasteful number, since it uses less digits than its factorization.

8387432202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6022 (or 5983 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 8387432202240 in words is "eight trillion, three hundred eighty-seven billion, four hundred thirty-two million, two hundred two thousand, two hundred forty".