8010455040 has 384 divisors, whose sum is σ = 32550336000. Its totient is φ = 1830518784.

The previous prime is 8010455039. The next prime is 8010455083. The reversal of 8010455040 is 405540108.

8010455040 is a `hidden beast` number, since 8 + 0 + 104 + 550 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×8010455040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 8010454995 and 8010455013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1933291 + ... + 1937429.

It is an arithmetic number, because the mean of its divisors is an integer number (84766500).

Almost surely, 2^8010455040 is an apocalyptic number.

8010455040 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 8010455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16275168000).

8010455040 is an abundant number, since it is smaller than the sum of its proper divisors (24539880960).

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

8010455040 is a wasteful number, since it uses less digits than its factorization.

8010455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4182 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 8010455040 is about 89501.1454675302. The cubic root of 8010455040 is about 2000.8708740675.

Adding to 8010455040 its reverse (405540108), we get a palindrome (8415995148).

The spelling of 8010455040 in words is "eight billion, ten million, four hundred fifty-five thousand, forty".