20629384040 has 64 divisors (see below), whose sum is σ = 47848741200. Its totient is φ = 7998732288.

The previous prime is 20629384037. The next prime is 20629384091. The reversal of 20629384040 is 4048392602.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6808560196 + 13820823844 = 82514^2 + 117562^2 .

It is a super-4 number, since 4×20629384040⁴ (a number of 42 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20629383985 and 20629384003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372212 + ... + 424028.

Almost surely, 2^20629384040 is an apocalyptic number.

20629384040 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 20629384040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23924370600).

20629384040 is an abundant number, since it is smaller than the sum of its proper divisors (27219357160).

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

20629384040 is a wasteful number, since it uses less digits than its factorization.

20629384040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52134 (or 52130 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 20629384040 in words is "twenty billion, six hundred twenty-nine million, three hundred eighty-four thousand, forty".