4934615040 has 480 divisors, whose sum is σ = 18496316160. Its totient is φ = 1245708288.

The previous prime is 4934615003. The next prime is 4934615047. The reversal of 4934615040 is 405164394.

4934615040 is a `hidden beast` number, since 4 + 9 + 34 + 615 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 4934614986 and 4934615004.

It is not an unprimeable number, because it can be changed into a prime (4934615047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50872272 + ... + 50872368.

It is an arithmetic number, because the mean of its divisors is an integer number (38533992).

Almost surely, 2^4934615040 is an apocalyptic number.

4934615040 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 4934615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9248158080).

4934615040 is an abundant number, since it is smaller than the sum of its proper divisors (13561701120).

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

4934615040 is an equidigital number, since it uses as much as digits as its factorization.

4934615040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4934615040 is about 70246.8151591231. The cubic root of 4934615040 is about 1702.4894369505.

It can be divided in two parts, 493461 and 5040, that added together give a triangular number (498501 = T₉₉₈).

The spelling of 4934615040 in words is "four billion, nine hundred thirty-four million, six hundred fifteen thousand, forty".