40415033020040 has 128 divisors (see below), whose sum is σ = 104331702101760. Its totient is φ = 13802319688704.

The previous prime is 40415033019863. The next prime is 40415033020079. The reversal of 40415033020040 is 4002033051404.

It is a junction number, because it is equal to n+sod(n) for n = 40415033019991 and 40415033020009.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163710539 + ... + 163957221.

It is an arithmetic number, because the mean of its divisors is an integer number (815091422670).

Almost surely, 2^{40415033020040} is an apocalyptic number.

40415033020040 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 40415033020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52165851050880).

40415033020040 is an abundant number, since it is smaller than the sum of its proper divisors (63916669081720).

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

40415033020040 is a wasteful number, since it uses less digits than its factorization.

40415033020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248991 (or 248987 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 40415033020040 its reverse (4002033051404), we get a palindrome (44417066071444).

The spelling of 40415033020040 in words is "forty trillion, four hundred fifteen billion, thirty-three million, twenty thousand, forty".