40034321694720 has 1728 divisors, whose sum is σ = 154168269615360. Its totient is φ = 9937354752000.

The previous prime is 40034321694709. The next prime is 40034321694727. The reversal of 40034321694720 is 2749612343004.

40034321694720 is a `hidden beast` number, since 4 + 0 + 0 + 343 + 216 + 94 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40034321694727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 305605509055 + ... + 305605509185.

It is an arithmetic number, because the mean of its divisors is an integer number (89217748620).

Almost surely, 2^{40034321694720} is an apocalyptic number.

40034321694720 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 40034321694720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77084134807680).

40034321694720 is an abundant number, since it is smaller than the sum of its proper divisors (114133947920640).

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

40034321694720 is an equidigital number, since it uses as much as digits as its factorization.

40034321694720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 40034321694720 in words is "forty trillion, thirty-four billion, three hundred twenty-one million, six hundred ninety-four thousand, seven hundred twenty".