4213117440 has 480 divisors, whose sum is σ = 16883133696. Its totient is φ = 951091200.

The previous prime is 4213117409. The next prime is 4213117471. The reversal of 4213117440 is 447113124.

4213117440 is a `hidden beast` number, since 4 + 213 + 1 + 1 + 7 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (4213117409) and next prime (4213117471).

It is a tau number, because it is divible by the number of its divisors (480).

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, 24353194 + ... + 24353366.

Almost surely, 2^4213117440 is an apocalyptic number.

4213117440 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 4213117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8441566848).

4213117440 is an abundant number, since it is smaller than the sum of its proper divisors (12670016256).

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

4213117440 is a wasteful number, since it uses less digits than its factorization.

4213117440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4213117440 is about 64908.5313344864. The cubic root of 4213117440 is about 1615.1065871689.

The spelling of 4213117440 in words is "four billion, two hundred thirteen million, one hundred seventeen thousand, four hundred forty".