40775454720 has 1872 divisors, whose sum is σ = 202034881152. Its totient is φ = 7361003520.

The previous prime is 40775454701. The next prime is 40775454739. The reversal of 40775454720 is 2745457704.

40775454720 is a `hidden beast` number, since 40 + 7 + 7 + 545 + 47 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (40775454701) and next prime (40775454739).

It is a tau number, because it is divible by the number of its divisors (1872).

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 143 ways as a sum of consecutive naturals, for example, 2398556152 + ... + 2398556168.

It is an arithmetic number, because the mean of its divisors is an integer number (107924616).

Almost surely, 2^40775454720 is an apocalyptic number.

40775454720 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 40775454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101017440576).

40775454720 is an abundant number, since it is smaller than the sum of its proper divisors (161259426432).

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

40775454720 is a wasteful number, since it uses less digits than its factorization.

40775454720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 45.

The spelling of 40775454720 in words is "forty billion, seven hundred seventy-five million, four hundred fifty-four thousand, seven hundred twenty".