4811325467040 has 768 divisors, whose sum is σ = 19000795968000. Its totient is φ = 1143966302208.

The previous prime is 4811325466949. The next prime is 4811325467099. The reversal of 4811325467040 is 407645231184.

4811325467040 is a `hidden beast` number, since 4 + 8 + 1 + 1 + 32 + 546 + 70 + 4 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 113002876 + ... + 113045444.

It is an arithmetic number, because the mean of its divisors is an integer number (24740619750).

Almost surely, 2^{4811325467040} is an apocalyptic number.

4811325467040 is a gapful number since it is divisible by the number (40) 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 4811325467040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9500397984000).

4811325467040 is an abundant number, since it is smaller than the sum of its proper divisors (14189470500960).

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

4811325467040 is a wasteful number, since it uses less digits than its factorization.

4811325467040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42641 (or 42615 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 4811325467040 in words is "four trillion, eight hundred eleven billion, three hundred twenty-five million, four hundred sixty-seven thousand, forty".