3412425641040 has 240 divisors, whose sum is σ = 12357314581248. Its totient is φ = 838912564224.

The previous prime is 3412425641021. The next prime is 3412425641069. The reversal of 3412425641040 is 401465242143.

3412425641040 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 4 + 2 + 5 + 641 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3412425640986 and 3412425641004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7134697 + ... + 7597943.

Almost surely, 2^{3412425641040} is an apocalyptic number.

3412425641040 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 3412425641040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6178657290624).

3412425641040 is an abundant number, since it is smaller than the sum of its proper divisors (8944888940208).

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

3412425641040 is a wasteful number, since it uses less digits than its factorization.

3412425641040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464066 (or 464057 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 3412425641040 in words is "three trillion, four hundred twelve billion, four hundred twenty-five million, six hundred forty-one thousand, forty".