409211378052 has 48 divisors (see below), whose sum is σ = 957415909632. Its totient is φ = 136034035200.

The previous prime is 409211378047. The next prime is 409211378057. The reversal of 409211378052 is 250873112904.

It is an interprime number because it is at equal distance from previous prime (409211378047) and next prime (409211378057).

It is a super-4 number, since 4×409211378052⁴ (a number of 48 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 409211377995 and 409211378013.

It is not an unprimeable number, because it can be changed into a prime (409211378057) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 41026938 + ... + 41036910.

It is an arithmetic number, because the mean of its divisors is an integer number (19946164784).

Almost surely, 2^409211378052 is an apocalyptic number.

It is an amenable number.

409211378052 is an abundant number, since it is smaller than the sum of its proper divisors (548204531580).

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

409211378052 is a wasteful number, since it uses less digits than its factorization.

409211378052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18908 (or 18906 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 409211378052 in words is "four hundred nine billion, two hundred eleven million, three hundred seventy-eight thousand, fifty-two".