3419474951040 has 512 divisors, whose sum is σ = 11649246681600. Its totient is φ = 851849478144.

The previous prime is 3419474950963. The next prime is 3419474951107. The reversal of 3419474951040 is 401594749143.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180218994 + ... + 180237966.

It is an arithmetic number, because the mean of its divisors is an integer number (22752434925).

Almost surely, 2^{3419474951040} is an apocalyptic number.

3419474951040 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 3419474951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5824623340800).

3419474951040 is an abundant number, since it is smaller than the sum of its proper divisors (8229771730560).

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

3419474951040 is a wasteful number, since it uses less digits than its factorization.

3419474951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19134 (or 19122 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 3419474951040 in words is "three trillion, four hundred nineteen billion, four hundred seventy-four million, nine hundred fifty-one thousand, forty".