4072996408 has 256 divisors, whose sum is σ = 9824976000. Its totient is φ = 1560674304.

The previous prime is 4072996399. The next prime is 4072996429. The reversal of 4072996408 is 8046992704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36044160 + ... + 36044272.

Almost surely, 2^4072996408 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 4072996408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4912488000).

4072996408 is an abundant number, since it is smaller than the sum of its proper divisors (5751979592).

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

4072996408 is a wasteful number, since it uses less digits than its factorization.

4072996408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The square root of 4072996408 is about 63820.0314008071. The cubic root of 4072996408 is about 1596.9991158276. Note that the first 3 decimals are identical.

The spelling of 4072996408 in words is "four billion, seventy-two million, nine hundred ninety-six thousand, four hundred eight".