4016693952 has 336 divisors, whose sum is σ = 12542580960. Its totient is φ = 1226244096.

The previous prime is 4016693939. The next prime is 4016693959. The reversal of 4016693952 is 2593966104.

It is a super-2 number, since 2×4016693952² = 32267660608066756608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4016693898 and 4016693907.

It is not an unprimeable number, because it can be changed into a prime (4016693959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41409168 + ... + 41409264.

It is an arithmetic number, because the mean of its divisors is an integer number (37329110).

Almost surely, 2^4016693952 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 4016693952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6271290480).

4016693952 is an abundant number, since it is smaller than the sum of its proper divisors (8525887008).

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

4016693952 is a wasteful number, since it uses less digits than its factorization.

4016693952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 4016693952 is about 63377.3930672444. The cubic root of 4016693952 is about 1589.6063200015.

The spelling of 4016693952 in words is "four billion, sixteen million, six hundred ninety-three thousand, nine hundred fifty-two".