26401969440 has 576 divisors, whose sum is σ = 116501898240. Its totient is φ = 5485501440.

The previous prime is 26401969439. The next prime is 26401969469. The reversal of 26401969440 is 4496910462.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2989351 + ... + 2998169.

It is an arithmetic number, because the mean of its divisors is an integer number (202260240).

Almost surely, 2^26401969440 is an apocalyptic number.

26401969440 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 26401969440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58250949120).

26401969440 is an abundant number, since it is smaller than the sum of its proper divisors (90099928800).

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

26401969440 is a wasteful number, since it uses less digits than its factorization.

26401969440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8867 (or 8847 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 26401969440 in words is "twenty-six billion, four hundred one million, nine hundred sixty-nine thousand, four hundred forty".