40752391680 has 2560 divisors, whose sum is σ = 211186483200. Its totient is φ = 7166361600.

The previous prime is 40752391577. The next prime is 40752391733. The reversal of 40752391680 is 8619325704.

40752391680 is a `hidden beast` number, since 40 + 7 + 523 + 9 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1314593265 + ... + 1314593295.

It is an arithmetic number, because the mean of its divisors is an integer number (82494720).

It is a 1-persistent number, because it is pandigital, but 2⋅40752391680 = 81504783360 is not.

Almost surely, 2^40752391680 is an apocalyptic number.

40752391680 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 40752391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105593241600).

40752391680 is an abundant number, since it is smaller than the sum of its proper divisors (170434091520).

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

40752391680 is a wasteful number, since it uses less digits than its factorization.

40752391680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 40752391680 in words is "forty billion, seven hundred fifty-two million, three hundred ninety-one thousand, six hundred eighty".