40653464011776 has 1408 divisors, whose sum is σ = 155349244477440. Its totient is φ = 10202775552000.

The previous prime is 40653464011763. The next prime is 40653464011871. The reversal of 40653464011776 is 67711046435604.

40653464011776 is a `hidden beast` number, since 4 + 0 + 6 + 5 + 3 + 464 + 0 + 1 + 177 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-3 number, since 3×40653464011776³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 63421940416 + ... + 63421941056.

Almost surely, 2^{40653464011776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40653464011776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77674622238720).

40653464011776 is an abundant number, since it is smaller than the sum of its proper divisors (114695780465664).

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

40653464011776 is an equidigital number, since it uses as much as digits as its factorization.

40653464011776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 40653464011776 in words is "forty trillion, six hundred fifty-three billion, four hundred sixty-four million, eleven thousand, seven hundred seventy-six".