40066716777152 has 224 divisors, whose sum is σ = 90944225487360. Its totient is φ = 17372480716800.

The previous prime is 40066716777041. The next prime is 40066716777187. The reversal of 40066716777152 is 25177761766004.

It is a super-2 number, since 2×40066716777152² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a junction number, because it is equal to n+sod(n) for n = 40066716777091 and 40066716777100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1267878152 + ... + 1267909752.

It is an arithmetic number, because the mean of its divisors is an integer number (406001006640).

Almost surely, 2^{40066716777152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40066716777152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45472112743680).

40066716777152 is an abundant number, since it is smaller than the sum of its proper divisors (50877508710208).

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

40066716777152 is a wasteful number, since it uses less digits than its factorization.

40066716777152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32831 (or 32821 counting only the distinct ones).

The product of its (nonzero) digits is 20744640, while the sum is 59.

The spelling of 40066716777152 in words is "forty trillion, sixty-six billion, seven hundred sixteen million, seven hundred seventy-seven thousand, one hundred fifty-two".