40121702506116 has 192 divisors, whose sum is σ = 135324847042560. Its totient is φ = 9968124798720.

The previous prime is 40121702506103. The next prime is 40121702506121. The reversal of 40121702506116 is 61160520712104.

40121702506116 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 17 + 0 + 25 + 0 + 611 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104692201 + ... + 105074736.

It is an arithmetic number, because the mean of its divisors is an integer number (704816911680).

Almost surely, 2^{40121702506116} is an apocalyptic number.

40121702506116 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

40121702506116 is an abundant number, since it is smaller than the sum of its proper divisors (95203144536444).

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

40121702506116 is a wasteful number, since it uses less digits than its factorization.

40121702506116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209766991 (or 209766983 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 40121702506116 in words is "forty trillion, one hundred twenty-one billion, seven hundred two million, five hundred six thousand, one hundred sixteen".