40458012672 has 576 divisors, whose sum is σ = 144306489600. Its totient is φ = 9940008960.

The previous prime is 40458012671. The next prime is 40458012719. The reversal of 40458012672 is 27621085404.

It is a self number, because there is not a number n which added to its sum of digits gives 40458012672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40458012671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62920383 + ... + 62921025.

It is an arithmetic number, because the mean of its divisors is an integer number (250532100).

Almost surely, 2^40458012672 is an apocalyptic number.

40458012672 is a gapful number since it is divisible by the number (42) 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 40458012672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72153244800).

40458012672 is an abundant number, since it is smaller than the sum of its proper divisors (103848476928).

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

40458012672 is a wasteful number, since it uses less digits than its factorization.

40458012672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 40458012672 in words is "forty billion, four hundred fifty-eight million, twelve thousand, six hundred seventy-two".