40105692000 has 1152 divisors, whose sum is σ = 167593660416. Its totient is φ = 9408960000.

The previous prime is 40105691963. The next prime is 40105692023. The reversal of 40105692000 is 29650104.

40105692000 is a `hidden beast` number, since 401 + 0 + 56 + 9 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1293731985 + ... + 1293732015.

It is an arithmetic number, because the mean of its divisors is an integer number (145480608).

Almost surely, 2^40105692000 is an apocalyptic number.

40105692000 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 40105692000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83796830208).

40105692000 is an abundant number, since it is smaller than the sum of its proper divisors (127487968416).

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

40105692000 is an equidigital number, since it uses as much as digits as its factorization.

40105692000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 40105692000 in words is "forty billion, one hundred five million, six hundred ninety-two thousand".