40716049920 has 1280 divisors, whose sum is σ = 178188595200. Its totient is φ = 7681867776.

The previous prime is 40716049849. The next prime is 40716049931. The reversal of 40716049920 is 2994061704.

40716049920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 273262006 + ... + 273262154.

It is an arithmetic number, because the mean of its divisors is an integer number (139209840).

Almost surely, 2^40716049920 is an apocalyptic number.

40716049920 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 40716049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89094297600).

40716049920 is an abundant number, since it is smaller than the sum of its proper divisors (137472545280).

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

40716049920 is a wasteful number, since it uses less digits than its factorization.

40716049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 40716049920 in words is "forty billion, seven hundred sixteen million, forty-nine thousand, nine hundred twenty".