40297132512 has 288 divisors, whose sum is σ = 142162255872. Its totient is φ = 10543260672.

The previous prime is 40297132489. The next prime is 40297132559. The reversal of 40297132512 is 21523179204.

40297132512 is a `hidden beast` number, since 4 + 0 + 2 + 9 + 7 + 132 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3322363 + ... + 3334469.

It is an arithmetic number, because the mean of its divisors is an integer number (493618944).

Almost surely, 2^40297132512 is an apocalyptic number.

40297132512 is a gapful number since it is divisible by the number (42) 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 40297132512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71081127936).

40297132512 is an abundant number, since it is smaller than the sum of its proper divisors (101865123360).

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

40297132512 is a wasteful number, since it uses less digits than its factorization.

40297132512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12270 (or 12259 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 40297132512 in words is "forty billion, two hundred ninety-seven million, one hundred thirty-two thousand, five hundred twelve".