27400411038 has 288 divisors, whose sum is σ = 76110814080. Its totient is φ = 6513091200.

The previous prime is 27400410997. The next prime is 27400411039. The reversal of 27400411038 is 83011400472.

It is a junction number, because it is equal to n+sod(n) for n = 27400410996 and 27400411014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27400411039) 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 143 ways as a sum of consecutive naturals, for example, 82780533 + ... + 82780863.

It is an arithmetic number, because the mean of its divisors is an integer number (264273660).

Almost surely, 2^27400411038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27400411038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38055407040).

27400411038 is an abundant number, since it is smaller than the sum of its proper divisors (48710403042).

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

27400411038 is a wasteful number, since it uses less digits than its factorization.

27400411038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 27400411038 in words is "twenty-seven billion, four hundred million, four hundred eleven thousand, thirty-eight".