42400040133645 has 24 divisors (see below), whose sum is σ = 73493671871256. Its totient is φ = 22613271977088.

The previous prime is 42400040133623. The next prime is 42400040133691. The reversal of 42400040133645 is 54633104000424.

42400040133645 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 0 + 0 + 4 + 0 + 1 + 3 + 3 + 645 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1271957651721 + 41128082481924 = 1127811^2 + 6413118^2 .

It is not a de Polignac number, because 42400040133645 - 2¹² = 42400040129549 is a prime.

It is a super-3 number, since 3×42400040133645³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 11889279 + ... + 15038451.

It is an arithmetic number, because the mean of its divisors is an integer number (3062236327969).

Almost surely, 2^{42400040133645} is an apocalyptic number.

42400040133645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42400040133645 is a deficient number, since it is larger than the sum of its proper divisors (31093631737611).

42400040133645 is a wasteful number, since it uses less digits than its factorization.

42400040133645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448381 (or 3448378 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 42400040133645 in words is "forty-two trillion, four hundred billion, forty million, one hundred thirty-three thousand, six hundred forty-five".