4009725193040 has 160 divisors (see below), whose sum is σ = 10924117311744. Its totient is φ = 1340022804480.

The previous prime is 4009725193037. The next prime is 4009725193147. The reversal of 4009725193040 is 403915279004.

It is a super-2 number, since 2×4009725193040² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4009725192982 and 4009725193000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25568147 + ... + 25724493.

Almost surely, 2^{4009725193040} is an apocalyptic number.

4009725193040 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 4009725193040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462058655872).

4009725193040 is an abundant number, since it is smaller than the sum of its proper divisors (6914392118704).

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

4009725193040 is a wasteful number, since it uses less digits than its factorization.

4009725193040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157525 (or 157519 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The spelling of 4009725193040 in words is "four trillion, nine billion, seven hundred twenty-five million, one hundred ninety-three thousand, forty".