20127407040 has 896 divisors, whose sum is σ = 82585681920. Its totient is φ = 4570546176.

The previous prime is 20127407029. The next prime is 20127407089. The reversal of 20127407040 is 4070472102.

It is a happy number.

It is a super-2 number, since 2×20127407040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20127406995 and 20127407013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 158483457 + ... + 158483583.

It is an arithmetic number, because the mean of its divisors is an integer number (92171520).

Almost surely, 2^20127407040 is an apocalyptic number.

20127407040 is a gapful number since it is divisible by the number (20) 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 20127407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41292840960).

20127407040 is an abundant number, since it is smaller than the sum of its proper divisors (62458274880).

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

20127407040 is a wasteful number, since it uses less digits than its factorization.

20127407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

Adding to 20127407040 its reverse (4070472102), we get a palindrome (24197879142).

The spelling of 20127407040 in words is "twenty billion, one hundred twenty-seven million, four hundred seven thousand, forty".