26417111040 has 224 divisors, whose sum is σ = 93925704960. Its totient is φ = 7044268032.

The previous prime is 26417111029. The next prime is 26417111051. The reversal of 26417111040 is 4011171462.

26417111040 is a `hidden beast` number, since 2 + 641 + 7 + 1 + 1 + 10 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26417111029) and next prime (26417111051).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 26417110995 and 26417111013.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1093977 + ... + 1117863.

Almost surely, 2^26417111040 is an apocalyptic number.

26417111040 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 26417111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46962852480).

26417111040 is an abundant number, since it is smaller than the sum of its proper divisors (67508593920).

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

26417111040 is an equidigital number, since it uses as much as digits as its factorization.

26417111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23927 (or 23897 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 26417111040 in words is "twenty-six billion, four hundred seventeen million, one hundred eleven thousand, forty".