40693454249040 has 120 divisors (see below), whose sum is σ = 136709041160328. Its totient is φ = 10847867120640.

The previous prime is 40693454249039. The next prime is 40693454249089. The reversal of 40693454249040 is 4094245439604.

40693454249040 is a `hidden beast` number, since 4 + 0 + 6 + 9 + 3 + 4 + 542 + 4 + 90 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23442988505616 + 17250465743424 = 4841796^2 + 4153368^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7587571 + ... + 11788050.

Almost surely, 2^{40693454249040} is an apocalyptic number.

40693454249040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40693454249040 is an abundant number, since it is smaller than the sum of its proper divisors (96015586911288).

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

40693454249040 is a wasteful number, since it uses less digits than its factorization.

40693454249040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19378557 (or 19378548 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 40693454249040 in words is "forty trillion, six hundred ninety-three billion, four hundred fifty-four million, two hundred forty-nine thousand, forty".