8283690455040 has 4992 divisors, whose sum is σ = 43277417164800. Its totient is φ = 1406517903360.

The previous prime is 8283690455011. The next prime is 8283690455071. The reversal of 8283690455040 is 405540963828.

8283690455040 is a `hidden beast` number, since 8 + 2 + 8 + 3 + 6 + 90 + 45 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a super-2 number, since 2×8283690455040² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 59594895291 + ... + 59594895429.

It is an arithmetic number, because the mean of its divisors is an integer number (8669354400).

Almost surely, 2^{8283690455040} is an apocalyptic number.

8283690455040 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 8283690455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21638708582400).

8283690455040 is an abundant number, since it is smaller than the sum of its proper divisors (34993726709760).

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

8283690455040 is a wasteful number, since it uses less digits than its factorization.

8283690455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 8283690455040 in words is "eight trillion, two hundred eighty-three billion, six hundred ninety million, four hundred fifty-five thousand, forty".