356541101040 has 80 divisors (see below), whose sum is σ = 1140931547136. Its totient is φ = 92010604800.

The previous prime is 356541101027. The next prime is 356541101041. The reversal of 356541101040 is 40101145653.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 356541100989 and 356541101007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (356541101041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23953656 + ... + 23968535.

Almost surely, 2^356541101040 is an apocalyptic number.

356541101040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

356541101040 is an abundant number, since it is smaller than the sum of its proper divisors (784390446096).

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

356541101040 is a wasteful number, since it uses less digits than its factorization.

356541101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47922238 (or 47922232 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 356541101040 its reverse (40101145653), we get a palindrome (396642246693).

The spelling of 356541101040 in words is "three hundred fifty-six billion, five hundred forty-one million, one hundred one thousand, forty".