26402337709440 has 768 divisors, whose sum is σ = 107003605789440. Its totient is φ = 5475597926400.

The previous prime is 26402337709439. The next prime is 26402337709441. The reversal of 26402337709440 is 4490773320462.

It is an interprime number because it is at equal distance from previous prime (26402337709439) and next prime (26402337709441).

It is a super-2 number, since 2×26402337709440² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26402337709441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 541217850 + ... + 541266630.

It is an arithmetic number, because the mean of its divisors is an integer number (139327611705).

Almost surely, 2^{26402337709440} is an apocalyptic number.

26402337709440 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 26402337709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53501802894720).

26402337709440 is an abundant number, since it is smaller than the sum of its proper divisors (80601268080000).

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

26402337709440 is a wasteful number, since it uses less digits than its factorization.

26402337709440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49351 (or 49332 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 51.

The spelling of 26402337709440 in words is "twenty-six trillion, four hundred two billion, three hundred thirty-seven million, seven hundred nine thousand, four hundred forty".