4613207040 has 704 divisors, whose sum is σ = 18817989120. Its totient is φ = 1061683200.

The previous prime is 4613206979. The next prime is 4613207069. The reversal of 4613207040 is 407023164.

4613207040 is a `hidden beast` number, since 4 + 613 + 2 + 0 + 7 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4613206995 and 4613207013.

It is a congruent number.

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, 30550965 + ... + 30551115.

Almost surely, 2^4613207040 is an apocalyptic number.

4613207040 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 4613207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9408994560).

4613207040 is an abundant number, since it is smaller than the sum of its proper divisors (14204782080).

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

4613207040 is a wasteful number, since it uses less digits than its factorization.

4613207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4613207040 is about 67920.5936369817. The cubic root of 4613207040 is about 1664.6936210875.

The spelling of 4613207040 in words is "four billion, six hundred thirteen million, two hundred seven thousand, forty".