40123615440 has 80 divisors (see below), whose sum is σ = 125665581888. Its totient is φ = 10589319168.

The previous prime is 40123615417. The next prime is 40123615451. The reversal of 40123615440 is 4451632104.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40123615398 and 40123615407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 838482 + ... + 885041.

Almost surely, 2^40123615440 is an apocalyptic number.

40123615440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40123615440 is an abundant number, since it is smaller than the sum of its proper divisors (85541966448).

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

40123615440 is a wasteful number, since it uses less digits than its factorization.

40123615440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723636 (or 1723630 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 40123615440 in words is "forty billion, one hundred twenty-three million, six hundred fifteen thousand, four hundred forty".