40557396418101 has 64 divisors (see below), whose sum is σ = 65435292000000. Its totient is φ = 24729289756416.

The previous prime is 40557396418087. The next prime is 40557396418151. The reversal of 40557396418101 is 10181469375504.

40557396418101 is a `hidden beast` number, since 4 + 0 + 5 + 573 + 9 + 64 + 1 + 8 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 40557396418101 - 2¹⁷ = 40557396287029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40557396418151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144896055 + ... + 145175691.

It is an arithmetic number, because the mean of its divisors is an integer number (1022426437500).

Almost surely, 2^{40557396418101} is an apocalyptic number.

It is an amenable number.

40557396418101 is a deficient number, since it is larger than the sum of its proper divisors (24877895581899).

40557396418101 is a wasteful number, since it uses less digits than its factorization.

40557396418101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289443 (or 289437 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 40557396418101 in words is "forty trillion, five hundred fifty-seven billion, three hundred ninety-six million, four hundred eighteen thousand, one hundred one".