42401546054140 has 192 divisors, whose sum is σ = 116208211037184. Its totient is φ = 12611516239872.

The previous prime is 42401546054137. The next prime is 42401546054159. The reversal of 42401546054140 is 4145064510424.

It is a super-2 number, since 2×42401546054140² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42401546054093 and 42401546054102.

It is a congruent number.

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, 20128767 + ... + 22135273.

It is an arithmetic number, because the mean of its divisors is an integer number (605251099152).

Almost surely, 2^{42401546054140} 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 42401546054140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58104105518592).

42401546054140 is an abundant number, since it is smaller than the sum of its proper divisors (73806664983044).

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

42401546054140 is a wasteful number, since it uses less digits than its factorization.

42401546054140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007236 (or 2007234 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

The spelling of 42401546054140 in words is "forty-two trillion, four hundred one billion, five hundred forty-six million, fifty-four thousand, one hundred forty".