405022852542 has 192 divisors, whose sum is σ = 1051031116800. Its totient is φ = 101796963840.

The previous prime is 405022852471. The next prime is 405022852567. The reversal of 405022852542 is 245258220504.

It is a super-2 number, since 2×405022852542² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 405022852542.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19651959 + ... + 19672557.

It is an arithmetic number, because the mean of its divisors is an integer number (5474120400).

Almost surely, 2^405022852542 is an apocalyptic number.

405022852542 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 405022852542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525515558400).

405022852542 is an abundant number, since it is smaller than the sum of its proper divisors (646008264258).

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

405022852542 is a wasteful number, since it uses less digits than its factorization.

405022852542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20759 (or 20748 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 39.

The spelling of 405022852542 in words is "four hundred five billion, twenty-two million, eight hundred fifty-two thousand, five hundred forty-two".