34002401312440 has 128 divisors (see below), whose sum is σ = 86207328000000. Its totient is φ = 11958068851200.

The previous prime is 34002401312423. The next prime is 34002401312479. The reversal of 34002401312440 is 4421310420043.

It is a junction number, because it is equal to n+sod(n) for n = 34002401312399 and 34002401312408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20748186 + ... + 22326934.

It is an arithmetic number, because the mean of its divisors is an integer number (673494750000).

Almost surely, 2^{34002401312440} 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 34002401312440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43103664000000).

34002401312440 is an abundant number, since it is smaller than the sum of its proper divisors (52204926687560).

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

34002401312440 is a wasteful number, since it uses less digits than its factorization.

34002401312440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580381 (or 1580377 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 34002401312440 its reverse (4421310420043), we get a palindrome (38423711732483).

The spelling of 34002401312440 in words is "thirty-four trillion, two billion, four hundred one million, three hundred twelve thousand, four hundred forty".