26938027440 has 240 divisors, whose sum is σ = 95816867328. Its totient is φ = 7030395648.

The previous prime is 26938027429. The next prime is 26938027447. The reversal of 26938027440 is 4472083962.

26938027440 is a `hidden beast` number, since 26 + 93 + 80 + 27 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×26938027440³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (26938027447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 898939 + ... + 928421.

Almost surely, 2^26938027440 is an apocalyptic number.

26938027440 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 26938027440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47908433664).

26938027440 is an abundant number, since it is smaller than the sum of its proper divisors (68878839888).

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

26938027440 is a wasteful number, since it uses less digits than its factorization.

26938027440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29558 (or 29540 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 26938027440 in words is "twenty-six billion, nine hundred thirty-eight million, twenty-seven thousand, four hundred forty".