4026897271800 has 768 divisors, whose sum is σ = 15526756224000. Its totient is φ = 952775239680.

The previous prime is 4026897271759. The next prime is 4026897271801. The reversal of 4026897271800 is 81727986204.

It is a happy number.

4026897271800 is a `hidden beast` number, since 402 + 6 + 8 + 97 + 2 + 71 + 80 + 0 = 666.

4026897271800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4026897271801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 215574861 + ... + 215593539.

It is an arithmetic number, because the mean of its divisors is an integer number (20217130500).

Almost surely, 2^{4026897271800} is an apocalyptic number.

4026897271800 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 4026897271800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7763378112000).

4026897271800 is an abundant number, since it is smaller than the sum of its proper divisors (11499858952200).

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

4026897271800 is a wasteful number, since it uses less digits than its factorization.

4026897271800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18837 (or 18822 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 4026897271800 in words is "four trillion, twenty-six billion, eight hundred ninety-seven million, two hundred seventy-one thousand, eight hundred".