40680450720 has 576 divisors, whose sum is σ = 178380195840. Its totient is φ = 8582547456.

The previous prime is 40680450719. The next prime is 40680450743. The reversal of 40680450720 is 2705408604.

40680450720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 2744449 + ... + 2759231.

It is an arithmetic number, because the mean of its divisors is an integer number (309687840).

Almost surely, 2^40680450720 is an apocalyptic number.

40680450720 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 40680450720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89190097920).

40680450720 is an abundant number, since it is smaller than the sum of its proper divisors (137699745120).

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

40680450720 is a wasteful number, since it uses less digits than its factorization.

40680450720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14834 (or 14813 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 40680450720 in words is "forty billion, six hundred eighty million, four hundred fifty thousand, seven hundred twenty".