26401914215424 has 396 divisors, whose sum is σ = 83834890764352. Its totient is φ = 7996814622720.

The previous prime is 26401914215393. The next prime is 26401914215437. The reversal of 26401914215424 is 42451241910462.

26401914215424 is a `hidden beast` number, since 2 + 6 + 4 + 0 + 1 + 9 + 1 + 4 + 215 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is a super-2 number, since 2×26401914215424² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26401914215424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3185939409 + ... + 3185947695.

Almost surely, 2^{26401914215424} is an apocalyptic number.

26401914215424 is a gapful number since it is divisible by the number (24) 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 26401914215424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41917445382176).

26401914215424 is an abundant number, since it is smaller than the sum of its proper divisors (57432976548928).

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

26401914215424 is a wasteful number, since it uses less digits than its factorization.

26401914215424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11192 (or 11160 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 26401914215424 in words is "twenty-six trillion, four hundred one billion, nine hundred fourteen million, two hundred fifteen thousand, four hundred twenty-four".