20168101440 has 224 divisors, whose sum is σ = 71248341120. Its totient is φ = 5370624000.

The previous prime is 20168101423. The next prime is 20168101493. The reversal of 20168101440 is 4410186102.

It is a happy number.

20168101440 is a `hidden beast` number, since 201 + 6 + 8 + 10 + 1 + 440 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9079530 + ... + 9081750.

Almost surely, 2^20168101440 is an apocalyptic number.

20168101440 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 20168101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35624170560).

20168101440 is an abundant number, since it is smaller than the sum of its proper divisors (51080239680).

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

20168101440 is a wasteful number, since it uses less digits than its factorization.

20168101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3298 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 20168101440 its reverse (4410186102), we get a palindrome (24578287542).

The spelling of 20168101440 in words is "twenty billion, one hundred sixty-eight million, one hundred one thousand, four hundred forty".