35340405440 has 112 divisors (see below), whose sum is σ = 86112778752. Its totient is φ = 13808372736.

The previous prime is 35340405433. The next prime is 35340405461. The reversal of 35340405440 is 4450404353.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 35340405397 and 35340405406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8826479 + ... + 8830481.

It is an arithmetic number, because the mean of its divisors is an integer number (768864096).

Almost surely, 2^35340405440 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 35340405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43056389376).

35340405440 is an abundant number, since it is smaller than the sum of its proper divisors (50772373312).

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

35340405440 is a wasteful number, since it uses less digits than its factorization.

35340405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4654 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

Adding to 35340405440 its reverse (4450404353), we get a palindrome (39790809793).

The spelling of 35340405440 in words is "thirty-five billion, three hundred forty million, four hundred five thousand, four hundred forty".