40679763000 has 256 divisors, whose sum is σ = 131251760640. Its totient is φ = 10483200000.

The previous prime is 40679762987. The next prime is 40679763037. The reversal of 40679763000 is 36797604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12511375 + ... + 12514625.

It is an arithmetic number, because the mean of its divisors is an integer number (512702190).

Almost surely, 2^40679763000 is an apocalyptic number.

40679763000 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 40679763000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65625880320).

40679763000 is an abundant number, since it is smaller than the sum of its proper divisors (90571997640).

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

40679763000 is a wasteful number, since it uses less digits than its factorization.

40679763000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The spelling of 40679763000 in words is "forty billion, six hundred seventy-nine million, seven hundred sixty-three thousand".