4056514540890 has 512 divisors, whose sum is σ = 12363825070080. Its totient is φ = 830473814016.

The previous prime is 4056514540873. The next prime is 4056514540931. The reversal of 4056514540890 is 980454156504.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3127612722 + ... + 3127614018.

It is an arithmetic number, because the mean of its divisors is an integer number (24148095840).

Almost surely, 2^{4056514540890} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4056514540890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181912535040).

4056514540890 is an abundant number, since it is smaller than the sum of its proper divisors (8307310529190).

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

4056514540890 is a wasteful number, since it uses less digits than its factorization.

4056514540890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726.

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 4056514540890 in words is "four trillion, fifty-six billion, five hundred fourteen million, five hundred forty thousand, eight hundred ninety".