4213617408 has 1080 divisors, whose sum is σ = 17762809680. Its totient is φ = 975421440.

The previous prime is 4213617361. The next prime is 4213617413. The reversal of 4213617408 is 8047163124.

It is a super-2 number, since 2×4213617408² = 35509143322001276928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 145297138 + ... + 145297166.

It is an arithmetic number, because the mean of its divisors is an integer number (16447046).

Almost surely, 2^4213617408 is an apocalyptic number.

4213617408 is a gapful number since it is divisible by the number (48) 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 4213617408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8881404840).

4213617408 is an abundant number, since it is smaller than the sum of its proper divisors (13549192272).

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

4213617408 is a wasteful number, since it uses less digits than its factorization.

4213617408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4213617408 is about 64912.3825475541. The cubic root of 4213617408 is about 1615.1704725366.

The spelling of 4213617408 in words is "four billion, two hundred thirteen million, six hundred seventeen thousand, four hundred eight".