4001608106496 has 2880 divisors, whose sum is σ = 17039933374464. Its totient is φ = 910486241280.

The previous prime is 4001608106429. The next prime is 4001608106497. The reversal of 4001608106496 is 6946018061004.

4001608106496 is a `hidden beast` number, since 40 + 0 + 16 + 0 + 8 + 106 + 496 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001608106497) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31508725185 + ... + 31508725311.

Almost surely, 2^{4001608106496} is an apocalyptic number.

4001608106496 is a gapful number since it is divisible by the number (46) 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 4001608106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8519966687232).

4001608106496 is an abundant number, since it is smaller than the sum of its proper divisors (13038325267968).

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

4001608106496 is a wasteful number, since it uses less digits than its factorization.

4001608106496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 4001608106496 in words is "four trillion, one billion, six hundred eight million, one hundred six thousand, four hundred ninety-six".