35480665440 has 576 divisors, whose sum is σ = 138032294400. Its totient is φ = 8504939520.

The previous prime is 35480665397. The next prime is 35480665453. The reversal of 35480665440 is 4456608453.

35480665440 is a `hidden beast` number, since 3 + 5 + 48 + 0 + 66 + 544 + 0 = 666.

35480665440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53839831 + ... + 53840489.

It is an arithmetic number, because the mean of its divisors is an integer number (239639400).

Almost surely, 2^35480665440 is an apocalyptic number.

35480665440 is a gapful number since it is divisible by the number (30) 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 35480665440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69016147200).

35480665440 is an abundant number, since it is smaller than the sum of its proper divisors (102551628960).

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

35480665440 is a wasteful number, since it uses less digits than its factorization.

35480665440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 35480665440 in words is "thirty-five billion, four hundred eighty million, six hundred sixty-five thousand, four hundred forty".