3400120040240 has 320 divisors, whose sum is σ = 9966550099968. Its totient is φ = 1047903436800.

The previous prime is 3400120040227. The next prime is 3400120040243. The reversal of 3400120040240 is 420400210043.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3400120040243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 960212870 + ... + 960216410.

Almost surely, 2^{3400120040240} 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 3400120040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4983275049984).

3400120040240 is an abundant number, since it is smaller than the sum of its proper divisors (6566430059728).

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

3400120040240 is a wasteful number, since it uses less digits than its factorization.

3400120040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5276 (or 5270 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 3400120040240 its reverse (420400210043), we get a palindrome (3820520250283).

The spelling of 3400120040240 in words is "three trillion, four hundred billion, one hundred twenty million, forty thousand, two hundred forty".