40206969000 has 768 divisors, whose sum is σ = 158547916800. Its totient is φ = 9408960000.

The previous prime is 40206968999. The next prime is 40206969017. The reversal of 40206969000 is 96960204.

It is a super-2 number, since 2×40206969000² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101276802 + ... + 101277198.

It is an arithmetic number, because the mean of its divisors is an integer number (206442600).

Almost surely, 2^40206969000 is an apocalyptic number.

40206969000 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 40206969000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79273958400).

40206969000 is an abundant number, since it is smaller than the sum of its proper divisors (118340947800).

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

40206969000 is a wasteful number, since it uses less digits than its factorization.

40206969000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 40206969000 in words is "forty billion, two hundred six million, nine hundred sixty-nine thousand".