20130620040 has 512 divisors, whose sum is σ = 74226585600. Its totient is φ = 4830658560.

The previous prime is 20130619997. The next prime is 20130620047. The reversal of 20130620040 is 4002603102.

It is a happy number.

20130620040 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 0 + 620 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20130619995 and 20130620022.

It is not an unprimeable number, because it can be changed into a prime (20130620047) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64314924 + ... + 64315236.

It is an arithmetic number, because the mean of its divisors is an integer number (144973800).

Almost surely, 2^20130620040 is an apocalyptic number.

20130620040 is a gapful number since it is divisible by the number (20) 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 20130620040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37113292800).

20130620040 is an abundant number, since it is smaller than the sum of its proper divisors (54095965560).

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

20130620040 is a wasteful number, since it uses less digits than its factorization.

20130620040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The spelling of 20130620040 in words is "twenty billion, one hundred thirty million, six hundred twenty thousand, forty".