4096856901984 has 576 divisors, whose sum is σ = 13873500426240. Its totient is φ = 1035801676800.

The previous prime is 4096856901983. The next prime is 4096856901989. The reversal of 4096856901984 is 4891096586904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4096856901983) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 494128879 + ... + 494137169.

It is an arithmetic number, because the mean of its divisors is an integer number (24085938240).

Almost surely, 2^{4096856901984} is an apocalyptic number.

4096856901984 is a gapful number since it is divisible by the number (44) 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 4096856901984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6936750213120).

4096856901984 is an abundant number, since it is smaller than the sum of its proper divisors (9776643524256).

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

4096856901984 is a wasteful number, since it uses less digits than its factorization.

4096856901984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8495 (or 8476 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 69.

The spelling of 4096856901984 in words is "four trillion, ninety-six billion, eight hundred fifty-six million, nine hundred one thousand, nine hundred eighty-four".