4611662440 has 128 divisors (see below), whose sum is σ = 13201056000. Its totient is φ = 1437354240.

The previous prime is 4611662431. The next prime is 4611662453. The reversal of 4611662440 is 442661164.

It is a super-4 number, since 4×4611662440⁴ (a number of 40 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4611662396 and 4611662405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135642 + ... + 166198.

It is an arithmetic number, because the mean of its divisors is an integer number (103133250).

Almost surely, 2^4611662440 is an apocalyptic number.

4611662440 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 4611662440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6600528000).

4611662440 is an abundant number, since it is smaller than the sum of its proper divisors (8589393560).

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

4611662440 is a wasteful number, since it uses less digits than its factorization.

4611662440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30600 (or 30582 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 4611662440 is about 67909.2220541511. Note that the first 3 decimals coincide. The cubic root of 4611662440 is about 1664.5078087179.

The spelling of 4611662440 in words is "four billion, six hundred eleven million, six hundred sixty-two thousand, four hundred forty".