3205070401456 has 240 divisors, whose sum is σ = 8004840782400. Its totient is φ = 1216167321600.

The previous prime is 3205070401439. The next prime is 3205070401471. The reversal of 3205070401456 is 6541040705023.

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, 342820270 + ... + 342829618.

It is an arithmetic number, because the mean of its divisors is an integer number (33353503260).

Almost surely, 2^{3205070401456} 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 3205070401456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4002420391200).

3205070401456 is an abundant number, since it is smaller than the sum of its proper divisors (4799770380944).

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

3205070401456 is a wasteful number, since it uses less digits than its factorization.

3205070401456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10044 (or 10027 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 3205070401456 in words is "three trillion, two hundred five billion, seventy million, four hundred one thousand, four hundred fifty-six".