8390473439040 has 4032 divisors, whose sum is σ = 41050940755968. Its totient is φ = 1580182732800.

The previous prime is 8390473439021. The next prime is 8390473439041. The reversal of 8390473439040 is 409343740938.

8390473439040 is a `hidden beast` number, since 8 + 3 + 9 + 0 + 473 + 43 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×8390473439040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8390473439041) 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 575 ways as a sum of consecutive naturals, for example, 118175682205 + ... + 118175682275.

Almost surely, 2^{8390473439040} is an apocalyptic number.

8390473439040 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 8390473439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20525470377984).

8390473439040 is an abundant number, since it is smaller than the sum of its proper divisors (32660467316928).

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

8390473439040 is a wasteful number, since it uses less digits than its factorization.

8390473439040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 8390473439040 in words is "eight trillion, three hundred ninety billion, four hundred seventy-three million, four hundred thirty-nine thousand, forty".