40540517424 has 120 divisors (see below), whose sum is σ = 124213259664. Its totient is φ = 12241152000.

The previous prime is 40540517401. The next prime is 40540517443. The reversal of 40540517424 is 42471504504.

40540517424 is a `hidden beast` number, since 40 + 540 + 5 + 1 + 74 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 399564 + ... + 490644.

Almost surely, 2^40540517424 is an apocalyptic number.

40540517424 is a gapful number since it is divisible by the number (44) 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 40540517424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62106629832).

40540517424 is an abundant number, since it is smaller than the sum of its proper divisors (83672742240).

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

40540517424 is a wasteful number, since it uses less digits than its factorization.

40540517424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91387 (or 91378 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

The spelling of 40540517424 in words is "forty billion, five hundred forty million, five hundred seventeen thousand, four hundred twenty-four".