8038214807040 has 2240 divisors, whose sum is σ = 34500366692352. Its totient is φ = 1772480102400.

The previous prime is 8038214807027. The next prime is 8038214807041. The reversal of 8038214807040 is 407084128308.

8038214807040 is a `hidden beast` number, since 80 + 3 + 8 + 21 + 480 + 70 + 4 + 0 = 666.

It is a super-2 number, since 2×8038214807040² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8038214807041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 10818592909 + ... + 10818593651.

Almost surely, 2^{8038214807040} is an apocalyptic number.

8038214807040 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 8038214807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17250183346176).

8038214807040 is an abundant number, since it is smaller than the sum of its proper divisors (26462151885312).

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

8038214807040 is a wasteful number, since it uses less digits than its factorization.

8038214807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 8038214807040 in words is "eight trillion, thirty-eight billion, two hundred fourteen million, eight hundred seven thousand, forty".