26241416000 has 224 divisors, whose sum is σ = 67123689984. Its totient is φ = 10156800000.

The previous prime is 26241415997. The next prime is 26241416011. The reversal of 26241416000 is 61414262.

It is a super-2 number, since 2×26241416000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37975655 + ... + 37976345.

Almost surely, 2^26241416000 is an apocalyptic number.

26241416000 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 26241416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33561844992).

26241416000 is an abundant number, since it is smaller than the sum of its proper divisors (40882273984).

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

26241416000 is a wasteful number, since it uses less digits than its factorization.

26241416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 26241416000 in words is "twenty-six billion, two hundred forty-one million, four hundred sixteen thousand".