40686264000 has 672 divisors, whose sum is σ = 154286346240. Its totient is φ = 10213632000.

The previous prime is 40686263963. The next prime is 40686264011. The reversal of 40686264000 is 46268604.

It is a happy number.

40686264000 is a `hidden beast` number, since 4 + 0 + 6 + 8 + 6 + 2 + 640 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130823845 + ... + 130824155.

Almost surely, 2^40686264000 is an apocalyptic number.

40686264000 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 40686264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77143173120).

40686264000 is an abundant number, since it is smaller than the sum of its proper divisors (113600082240).

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

40686264000 is a wasteful number, since it uses less digits than its factorization.

40686264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 40686264000 in words is "forty billion, six hundred eighty-six million, two hundred sixty-four thousand".