4027400041104 has 240 divisors, whose sum is σ = 13037407606080. Its totient is φ = 1147750871040.

The previous prime is 4027400041087. The next prime is 4027400041117. The reversal of 4027400041104 is 4011400047204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3634764 + ... + 4611540.

It is an arithmetic number, because the mean of its divisors is an integer number (54322531692).

Almost surely, 2^{4027400041104} is an apocalyptic number.

4027400041104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4027400041104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6518703803040).

4027400041104 is an abundant number, since it is smaller than the sum of its proper divisors (9010007564976).

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

4027400041104 is a wasteful number, since it uses less digits than its factorization.

4027400041104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976958 (or 976949 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 4027400041104 its reverse (4011400047204), we get a palindrome (8038800088308).

The spelling of 4027400041104 in words is "four trillion, twenty-seven billion, four hundred million, forty-one thousand, one hundred four".