26407940020 has 384 divisors, whose sum is σ = 75504844800. Its totient is φ = 7511616000.

The previous prime is 26407939979. The next prime is 26407940021. The reversal of 26407940020 is 2004970462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26407940021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 174886945 + ... + 174887095.

It is an arithmetic number, because the mean of its divisors is an integer number (196627200).

Almost surely, 2^26407940020 is an apocalyptic number.

26407940020 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 26407940020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37752422400).

26407940020 is an abundant number, since it is smaller than the sum of its proper divisors (49096904780).

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

26407940020 is a wasteful number, since it uses less digits than its factorization.

26407940020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 26407940020 in words is "twenty-six billion, four hundred seven million, nine hundred forty thousand, twenty".