40501034136144 has 30 divisors (see below), whose sum is σ = 113346644145306. Its totient is φ = 13500344712000.

The previous prime is 40501034136131. The next prime is 40501034136163. The reversal of 40501034136144 is 44163143010504.

40501034136144 is a `hidden beast` number, since 4 + 0 + 5 + 0 + 1 + 0 + 34 + 1 + 3 + 614 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29221592490000 + 11279441646144 = 5405700^2 + 3358488^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 40501034136099 and 40501034136108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140628590607 + ... + 140628590894.

Almost surely, 2^{40501034136144} is an apocalyptic number.

It is an amenable number.

40501034136144 is an abundant number, since it is smaller than the sum of its proper divisors (72845610009162).

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

40501034136144 is a wasteful number, since it uses less digits than its factorization.

40501034136144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281257181515 (or 281257181506 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 40501034136144 its reverse (44163143010504), we get a palindrome (84664177146648).

The spelling of 40501034136144 in words is "forty trillion, five hundred one billion, thirty-four million, one hundred thirty-six thousand, one hundred forty-four".