4958634240 has 576 divisors, whose sum is σ = 20407296000. Its totient is φ = 1116758016.

The previous prime is 4958634179. The next prime is 4958634253. The reversal of 4958634240 is 424368594.

4958634240 is a `hidden beast` number, since 4 + 9 + 5 + 8 + 634 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4958634240² = 49176107052200755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24917661 + ... + 24917859.

Almost surely, 2^4958634240 is an apocalyptic number.

4958634240 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 4958634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10203648000).

4958634240 is an abundant number, since it is smaller than the sum of its proper divisors (15448661760).

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

4958634240 is a wasteful number, since it uses less digits than its factorization.

4958634240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 4958634240 is about 70417.5705346329. The cubic root of 4958634240 is about 1705.2472518912.

The spelling of 4958634240 in words is "four billion, nine hundred fifty-eight million, six hundred thirty-four thousand, two hundred forty".