405151202140542 has 384 divisors, whose sum is σ = 1100323746063360. Its totient is φ = 105847922257920.

The previous prime is 405151202140541. The next prime is 405151202140621. The reversal of 405151202140542 is 245041202151504.

405151202140542 is a `hidden beast` number, since 4 + 0 + 5 + 1 + 5 + 1 + 202 + 1 + 405 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 405151202140497 and 405151202140506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405151202140541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3814463028 + ... + 3814569240.

It is an arithmetic number, because the mean of its divisors is an integer number (2865426422040).

Almost surely, 2^{405151202140542} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405151202140542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550161873031680).

405151202140542 is an abundant number, since it is smaller than the sum of its proper divisors (695172543922818).

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

405151202140542 is a wasteful number, since it uses less digits than its factorization.

405151202140542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106928 (or 106925 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 405151202140542 in words is "four hundred five trillion, one hundred fifty-one billion, two hundred two million, one hundred forty thousand, five hundred forty-two".