3420140403000 has 256 divisors, whose sum is σ = 10973838320640. Its totient is φ = 886461888000.

The previous prime is 3420140402941. The next prime is 3420140403059. The reversal of 3420140403000 is 3040410243.

It is an interprime number because it is at equal distance from previous prime (3420140402941) and next prime (3420140403059).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16912485 + ... + 17113515.

It is an arithmetic number, because the mean of its divisors is an integer number (42866555940).

Almost surely, 2^{3420140403000} is an apocalyptic number.

3420140403000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420140403000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486919160320).

3420140403000 is an abundant number, since it is smaller than the sum of its proper divisors (7553697917640).

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

3420140403000 is a wasteful number, since it uses less digits than its factorization.

3420140403000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201215 (or 201201 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 3420140403000 its reverse (3040410243), we get a palindrome (3423180813243).

The spelling of 3420140403000 in words is "three trillion, four hundred twenty billion, one hundred forty million, four hundred three thousand".