3401235333440 has 112 divisors (see below), whose sum is σ = 9259139199744. Its totient is φ = 1165769932800.

The previous prime is 3401235333439. The next prime is 3401235333443. The reversal of 3401235333440 is 443335321043.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3401235333440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401235333443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6909920 + ... + 7385760.

It is an arithmetic number, because the mean of its divisors is an integer number (82670885712).

Almost surely, 2^{3401235333440} 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 3401235333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4629569599872).

3401235333440 is an abundant number, since it is smaller than the sum of its proper divisors (5857903866304).

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

3401235333440 is a wasteful number, since it uses less digits than its factorization.

3401235333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479056 (or 479046 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 35.

The spelling of 3401235333440 in words is "three trillion, four hundred one billion, two hundred thirty-five million, three hundred thirty-three thousand, four hundred forty".