40129966080 has 520 divisors, whose sum is σ = 152424942912. Its totient is φ = 10064756736.

The previous prime is 40129966073. The next prime is 40129966087. The reversal of 40129966080 is 8066992104.

It is a happy number.

40129966080 is a `hidden beast` number, since 401 + 29 + 96 + 60 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (40129966073) and next prime (40129966087).

It is a super-2 number, since 2×40129966080² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (40129966087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28200249 + ... + 28201671.

Almost surely, 2^40129966080 is an apocalyptic number.

40129966080 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 40129966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76212471456).

40129966080 is an abundant number, since it is smaller than the sum of its proper divisors (112294976832).

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

40129966080 is a wasteful number, since it uses less digits than its factorization.

40129966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 40129966080 in words is "forty billion, one hundred twenty-nine million, nine hundred sixty-six thousand, eighty".