17420625040 has 480 divisors, whose sum is σ = 53861552640. Its totient is φ = 5183152128.

The previous prime is 17420624993. The next prime is 17420625073. The reversal of 17420625040 is 4052602471.

It is a junction number, because it is equal to n+sod(n) for n = 17420624993 and 17420625011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104315037 + ... + 104315203.

It is an arithmetic number, because the mean of its divisors is an integer number (112211568).

Almost surely, 2^17420625040 is an apocalyptic number.

17420625040 is a gapful number since it is divisible by the number (10) 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 17420625040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26930776320).

17420625040 is an abundant number, since it is smaller than the sum of its proper divisors (36440927600).

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

17420625040 is a wasteful number, since it uses less digits than its factorization.

17420625040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The spelling of 17420625040 in words is "seventeen billion, four hundred twenty million, six hundred twenty-five thousand, forty".