3466415010240 has 1120 divisors, whose sum is σ = 15666066898944. Its totient is φ = 707767787520.

The previous prime is 3466415010173. The next prime is 3466415010283. The reversal of 3466415010240 is 420105146643.

3466415010240 is a `hidden beast` number, since 3 + 4 + 6 + 641 + 5 + 0 + 1 + 0 + 2 + 4 + 0 = 666.

3466415010240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1120).

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 = 3466415010195 and 3466415010204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 73096617 + ... + 73144023.

Almost surely, 2^{3466415010240} is an apocalyptic number.

3466415010240 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 3466415010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7833033449472).

3466415010240 is an abundant number, since it is smaller than the sum of its proper divisors (12199651888704).

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

3466415010240 is a wasteful number, since it uses less digits than its factorization.

3466415010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47487 (or 47468 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 3466415010240 in words is "three trillion, four hundred sixty-six billion, four hundred fifteen million, ten thousand, two hundred forty".