4016748960 has 384 divisors, whose sum is σ = 16915046400. Its totient is φ = 869667840.

The previous prime is 4016748943. The next prime is 4016748973. The reversal of 4016748960 is 698476104.

4016748960 is a `hidden beast` number, since 4 + 0 + 167 + 489 + 6 + 0 = 666.

It is a super-3 number, since 3×4016748960³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 63 ways as a sum of consecutive naturals, for example, 571065 + ... + 578055.

It is an arithmetic number, because the mean of its divisors is an integer number (44049600).

Almost surely, 2^4016748960 is an apocalyptic number.

4016748960 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 4016748960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8457523200).

4016748960 is an abundant number, since it is smaller than the sum of its proper divisors (12898297440).

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

4016748960 is a wasteful number, since it uses less digits than its factorization.

4016748960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7041 (or 7027 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4016748960 is about 63377.8270375373. The cubic root of 4016748960 is about 1589.6135764390.

The spelling of 4016748960 in words is "four billion, sixteen million, seven hundred forty-eight thousand, nine hundred sixty".