40512712240 has 320 divisors, whose sum is σ = 133911429120. Its totient is φ = 10969989120.

The previous prime is 40512712199. The next prime is 40512712243. The reversal of 40512712240 is 4221721504.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 40512712199 and 40512712208.

It is not an unprimeable number, because it can be changed into a prime (40512712243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1346481 + ... + 1376239.

It is an arithmetic number, because the mean of its divisors is an integer number (418473216).

Almost surely, 2^40512712240 is an apocalyptic number.

40512712240 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 40512712240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66955714560).

40512712240 is an abundant number, since it is smaller than the sum of its proper divisors (93398716880).

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

40512712240 is a wasteful number, since it uses less digits than its factorization.

40512712240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29820 (or 29814 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The spelling of 40512712240 in words is "forty billion, five hundred twelve million, seven hundred twelve thousand, two hundred forty".