8460460045440 has 1152 divisors, whose sum is σ = 33668739262080. Its totient is φ = 1949975838720.

The previous prime is 8460460045393. The next prime is 8460460045463. The reversal of 8460460045440 is 445400640648.

8460460045440 is a `hidden beast` number, since 8 + 4 + 60 + 46 + 0 + 0 + 4 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-5 number, since 5×8460460045440⁵ (a number of 66 digits) contains 55555 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3491728069 + ... + 3491730491.

It is an arithmetic number, because the mean of its divisors is an integer number (29226336165).

Almost surely, 2^{8460460045440} is an apocalyptic number.

8460460045440 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 8460460045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16834369631040).

8460460045440 is an abundant number, since it is smaller than the sum of its proper divisors (25208279216640).

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

8460460045440 is a wasteful number, since it uses less digits than its factorization.

8460460045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 8460460045440 in words is "eight trillion, four hundred sixty billion, four hundred sixty million, forty-five thousand, four hundred forty".