4745442240 has 672 divisors, whose sum is σ = 21265286400. Its totient is φ = 985098240.

The previous prime is 4745442239. The next prime is 4745442259. The reversal of 4745442240 is 422445474.

4745442240 is a `hidden beast` number, since 4 + 74 + 544 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 4745442195 and 4745442204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4656451 + ... + 4657469.

Almost surely, 2^4745442240 is an apocalyptic number.

4745442240 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 4745442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10632643200).

4745442240 is an abundant number, since it is smaller than the sum of its proper divisors (16519844160).

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

4745442240 is a wasteful number, since it uses less digits than its factorization.

4745442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 36.

The square root of 4745442240 is about 68887.1703584927. The cubic root of 4745442240 is about 1680.4498795181.

It can be divided in two parts, 4745 and 442240, that added together give a triangular number (446985 = T₉₄₅).

The spelling of 4745442240 in words is "four billion, seven hundred forty-five million, four hundred forty-two thousand, two hundred forty".