4641809400 has 144 divisors (see below), whose sum is σ = 16266659760. Its totient is φ = 1183987200.

The previous prime is 4641809371. The next prime is 4641809401. The reversal of 4641809400 is 49081464.

It is a happy number.

4641809400 is a `hidden beast` number, since 4 + 641 + 8 + 0 + 9 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4641809401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14661 + ... + 97460.

It is an arithmetic number, because the mean of its divisors is an integer number (112962915).

Almost surely, 2^4641809400 is an apocalyptic number.

4641809400 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 4641809400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8133329880).

4641809400 is an abundant number, since it is smaller than the sum of its proper divisors (11624850360).

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

4641809400 is a wasteful number, since it uses less digits than its factorization.

4641809400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112166 (or 112154 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4641809400 is about 68130.8256224743. The cubic root of 4641809400 is about 1668.1269592647.

The spelling of 4641809400 in words is "four billion, six hundred forty-one million, eight hundred nine thousand, four hundred".