5040461260800 has 1440 divisors, whose sum is σ = 22266356112000. Its totient is φ = 1101867909120.

The previous prime is 5040461260789. The next prime is 5040461260819. The reversal of 5040461260800 is 80621640405.

5040461260800 is a `hidden beast` number, since 5 + 0 + 4 + 0 + 46 + 1 + 2 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 667695426 + ... + 667702974.

It is an arithmetic number, because the mean of its divisors is an integer number (15462747300).

Almost surely, 2^{5040461260800} is an apocalyptic number.

5040461260800 is a gapful number since it is divisible by the number (50) 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 5040461260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11133178056000).

5040461260800 is an abundant number, since it is smaller than the sum of its proper divisors (17225894851200).

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

5040461260800 is a wasteful number, since it uses less digits than its factorization.

5040461260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7623 (or 7589 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 5040461260800 in words is "five trillion, forty billion, four hundred sixty-one million, two hundred sixty thousand, eight hundred".