4661533404 has 72 divisors (see below), whose sum is σ = 12968412912. Its totient is φ = 1400071680.

The previous prime is 4661533363. The next prime is 4661533411. The reversal of 4661533404 is 4043351664.

4661533404 is a `hidden beast` number, since 4 + 6 + 615 + 3 + 34 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7339 + ... + 96834.

It is an arithmetic number, because the mean of its divisors is an integer number (180116846).

Almost surely, 2^4661533404 is an apocalyptic number.

4661533404 is a gapful number since it is divisible by the number (44) 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 4661533404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6484206456).

4661533404 is an abundant number, since it is smaller than the sum of its proper divisors (8306879508).

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

4661533404 is a wasteful number, since it uses less digits than its factorization.

4661533404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104307 (or 104302 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4661533404 is about 68275.4231330718. The cubic root of 4661533404 is about 1670.4863588744.

The spelling of 4661533404 in words is "four billion, six hundred sixty-one million, five hundred thirty-three thousand, four hundred four".