40765032000 has 2240 divisors, whose sum is σ = 202519848960. Its totient is φ = 7838208000.

The previous prime is 40765031987. The next prime is 40765032001. The reversal of 40765032000 is 23056704.

It is a happy number.

40765032000 is a `hidden beast` number, since 4 + 0 + 7 + 650 + 3 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×40765032000² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (40765032001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 948023979 + ... + 948024021.

Almost surely, 2^40765032000 is an apocalyptic number.

40765032000 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 40765032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101259924480).

40765032000 is an abundant number, since it is smaller than the sum of its proper divisors (161754816960).

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

40765032000 is a wasteful number, since it uses less digits than its factorization.

40765032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 40765032000 its reverse (23056704), we get a palindrome (40788088704).

The spelling of 40765032000 in words is "forty billion, seven hundred sixty-five million, thirty-two thousand".