40121735227776 has 96 divisors (see below), whose sum is σ = 115455728044800. Its totient is φ = 13373766300672.

The previous prime is 40121735227771. The next prime is 40121735227781. The reversal of 40121735227776 is 67772253712104.

40121735227776 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 17 + 352 + 277 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (40121735227771) and next prime (40121735227781).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40121735227771) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180970945 + ... + 181192511.

It is an arithmetic number, because the mean of its divisors is an integer number (1202663833800).

Almost surely, 2^{40121735227776} is an apocalyptic number.

It is an amenable number.

40121735227776 is an abundant number, since it is smaller than the sum of its proper divisors (75333992817024).

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

40121735227776 is a wasteful number, since it uses less digits than its factorization.

40121735227776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378776 (or 378761 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 54.

The spelling of 40121735227776 in words is "forty trillion, one hundred twenty-one billion, seven hundred thirty-five million, two hundred twenty-seven thousand, seven hundred seventy-six".