4216692480 has 576 divisors, whose sum is σ = 18098131968. Its totient is φ = 808058880.

The previous prime is 4216692479. The next prime is 4216692497. The reversal of 4216692480 is 842966124.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3843292 + ... + 3844388.

It is an arithmetic number, because the mean of its divisors is an integer number (31420368).

Almost surely, 2^4216692480 is an apocalyptic number.

4216692480 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 4216692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9049065984).

4216692480 is an abundant number, since it is smaller than the sum of its proper divisors (13881439488).

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

4216692480 is a wasteful number, since it uses less digits than its factorization.

4216692480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 4216692480 is about 64936.0645558383. The cubic root of 4216692480 is about 1615.5632908101.

It can be divided in two parts, 4216 and 692480, that added together give a palindrome (696696).

The spelling of 4216692480 in words is "four billion, two hundred sixteen million, six hundred ninety-two thousand, four hundred eighty".