4654319040 has 672 divisors, whose sum is σ = 19970496000. Its totient is φ = 970776576.

The previous prime is 4654319029. The next prime is 4654319051. The reversal of 4654319040 is 409134564.

4654319040 is a `hidden beast` number, since 465 + 4 + 3 + 190 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4654319029) and next prime (4654319051).

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

It is a super-2 number, since 2×4654319040² = 43325371452213043200, which contains 22 as substring.

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 = 4654318986 and 4654319004.

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, 11107951 + ... + 11108369.

It is an arithmetic number, because the mean of its divisors is an integer number (29718000).

Almost surely, 2^4654319040 is an apocalyptic number.

4654319040 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 4654319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9985248000).

4654319040 is an abundant number, since it is smaller than the sum of its proper divisors (15316176960).

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

4654319040 is a wasteful number, since it uses less digits than its factorization.

4654319040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 484 counting only the distinct ones).

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

The square root of 4654319040 is about 68222.5698724403. The cubic root of 4654319040 is about 1669.6241448008.

The spelling of 4654319040 in words is "four billion, six hundred fifty-four million, three hundred nineteen thousand, forty".