4059694080 has 528 divisors, whose sum is σ = 15772446144. Its totient is φ = 995328000.

The previous prime is 4059694073. The next prime is 4059694103. The reversal of 4059694080 is 804969504.

It is a happy number.

It is a super-2 number, since 2×4059694080² = 32962232046374092800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16173955 + ... + 16174205.

Almost surely, 2^4059694080 is an apocalyptic number.

4059694080 is a gapful number since it is divisible by the number (40) 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 4059694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7886223072).

4059694080 is an abundant number, since it is smaller than the sum of its proper divisors (11712752064).

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

4059694080 is a wasteful number, since it uses less digits than its factorization.

4059694080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 4059694080 is about 63715.7286703997. The cubic root of 4059694080 is about 1595.2586301780.

The spelling of 4059694080 in words is "four billion, fifty-nine million, six hundred ninety-four thousand, eighty".