5405041635840 has 1920 divisors, whose sum is σ = 24097532659200. Its totient is φ = 1109812838400.

The previous prime is 5405041635817. The next prime is 5405041635899. The reversal of 5405041635840 is 485361405045.

5405041635840 is a `hidden beast` number, since 5 + 4 + 0 + 5 + 0 + 4 + 1 + 63 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 8432201920 + ... + 8432202560.

It is an arithmetic number, because the mean of its divisors is an integer number (12550798260).

Almost surely, 2^{5405041635840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5405041635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12048766329600).

5405041635840 is an abundant number, since it is smaller than the sum of its proper divisors (18692491023360).

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

5405041635840 is a wasteful number, since it uses less digits than its factorization.

5405041635840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 5405041635840 in words is "five trillion, four hundred five billion, forty-one million, six hundred thirty-five thousand, eight hundred forty".