40672281600 has 792 divisors, whose sum is σ = 158601887520. Its totient is φ = 10212065280.

The previous prime is 40672281569. The next prime is 40672281623. The reversal of 40672281600 is 618227604.

40672281600 is a `hidden beast` number, since 40 + 6 + 7 + 2 + 2 + 8 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 249523119 + ... + 249523281.

Almost surely, 2^40672281600 is an apocalyptic number.

40672281600 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 40672281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79300943760).

40672281600 is an abundant number, since it is smaller than the sum of its proper divisors (117929605920).

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

40672281600 is a wasteful number, since it uses less digits than its factorization.

40672281600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 40672281600 in words is "forty billion, six hundred seventy-two million, two hundred eighty-one thousand, six hundred".