4261631616 has 480 divisors, whose sum is σ = 14445076800. Its totient is φ = 1245404160.

The previous prime is 4261631603. The next prime is 4261631617. The reversal of 4261631616 is 6161361624.

It is a happy number.

4261631616 is a `hidden beast` number, since 4 + 2 + 6 + 1 + 6 + 31 + 616 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4261631617) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 53944665 + ... + 53944743.

It is an arithmetic number, because the mean of its divisors is an integer number (30093910).

Almost surely, 2^4261631616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4261631616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7222538400).

4261631616 is an abundant number, since it is smaller than the sum of its proper divisors (10183445184).

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

4261631616 is a wasteful number, since it uses less digits than its factorization.

4261631616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 138 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 4261631616 is about 65281.1735188638. The cubic root of 4261631616 is about 1621.2822769539.

The spelling of 4261631616 in words is "four billion, two hundred sixty-one million, six hundred thirty-one thousand, six hundred sixteen".