40123020040 has 64 divisors (see below), whose sum is σ = 91458460800. Its totient is φ = 15839534592.

The previous prime is 40123020037. The next prime is 40123020053. The reversal of 40123020040 is 4002032104.

It is a junction number, because it is equal to n+sod(n) for n = 40123019996 and 40123020023.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3523476 + ... + 3534844.

It is an arithmetic number, because the mean of its divisors is an integer number (1429038450).

Almost surely, 2^40123020040 is an apocalyptic number.

40123020040 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 40123020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45729230400).

40123020040 is an abundant number, since it is smaller than the sum of its proper divisors (51335440760).

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

40123020040 is a wasteful number, since it uses less digits than its factorization.

40123020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12526 (or 12522 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 40123020040 its reverse (4002032104), we get a palindrome (44125052144).

The spelling of 40123020040 in words is "forty billion, one hundred twenty-three million, twenty thousand, forty".