3534405413440 has 112 divisors (see below), whose sum is σ = 9189077140224. Its totient is φ = 1284166656000.

The previous prime is 3534405413369. The next prime is 3534405413453. The reversal of 3534405413440 is 443145044353.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3534405413393 and 3534405413402.

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, 3809497 + ... + 4645543.

Almost surely, 2^{3534405413440} 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 3534405413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4594538570112).

3534405413440 is an abundant number, since it is smaller than the sum of its proper divisors (5654671726784).

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

3534405413440 is a wasteful number, since it uses less digits than its factorization.

3534405413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837276 (or 837266 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

The spelling of 3534405413440 in words is "three trillion, five hundred thirty-four billion, four hundred five million, four hundred thirteen thousand, four hundred forty".