26919383040 has 936 divisors, whose sum is σ = 110125570464. Its totient is φ = 6055526400.

The previous prime is 26919383003. The next prime is 26919383047. The reversal of 26919383040 is 4038391962.

It is a happy number.

26919383040 is a `hidden beast` number, since 269 + 1 + 9 + 383 + 0 + 4 + 0 = 666.

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 (26919383047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 379146205 + ... + 379146275.

It is an arithmetic number, because the mean of its divisors is an integer number (117655524).

Almost surely, 2^26919383040 is an apocalyptic number.

26919383040 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 26919383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55062785232).

26919383040 is an abundant number, since it is smaller than the sum of its proper divisors (83206187424).

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

26919383040 is a wasteful number, since it uses less digits than its factorization.

26919383040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 26919383040 in words is "twenty-six billion, nine hundred nineteen million, three hundred eighty-three thousand, forty".