2026334035440 has 1280 divisors, whose sum is σ = 8680944384000. Its totient is φ = 427115151360.

The previous prime is 2026334035409. The next prime is 2026334035447. The reversal of 2026334035440 is 445304336202.

2026334035440 is a `hidden beast` number, since 2 + 0 + 263 + 3 + 4 + 0 + 354 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2026334035395 and 2026334035404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2026334035447) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1132662066 + ... + 1132663854.

It is an arithmetic number, because the mean of its divisors is an integer number (6781987800).

Almost surely, 2^{2026334035440} is an apocalyptic number.

2026334035440 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 2026334035440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340472192000).

2026334035440 is an abundant number, since it is smaller than the sum of its proper divisors (6654610348560).

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

2026334035440 is a wasteful number, since it uses less digits than its factorization.

2026334035440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

The spelling of 2026334035440 in words is "two trillion, twenty-six billion, three hundred thirty-four million, thirty-five thousand, four hundred forty".