40114201743360 has 1404 divisors, whose sum is σ = 153527551016268. Its totient is φ = 10058131832832.

The previous prime is 40114201743347. The next prime is 40114201743389. The reversal of 40114201743360 is 6334710241104.

40114201743360 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 420 + 174 + 3 + 3 + 60 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10032574795776 + 30081626947584 = 3167424^2 + 5484672^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 38832721404 + ... + 38832722436.

Almost surely, 2^{40114201743360} is an apocalyptic number.

40114201743360 is a gapful number since it is divisible by the number (40) 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 40114201743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76763775508134).

40114201743360 is an abundant number, since it is smaller than the sum of its proper divisors (113413349272908).

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

40114201743360 is an frugal number, since it uses more digits than its factorization.

40114201743360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 40114201743360 its reverse (6334710241104), we get a palindrome (46448911984464).

The spelling of 40114201743360 in words is "forty trillion, one hundred fourteen billion, two hundred one million, seven hundred forty-three thousand, three hundred sixty".