26649351041040 has 720 divisors, whose sum is σ = 116270185606848. Its totient is φ = 5622717606912.

The previous prime is 26649351041021. The next prime is 26649351041059. The reversal of 26649351041040 is 4014015394662.

26649351041040 is a `hidden beast` number, since 2 + 6 + 6 + 4 + 93 + 510 + 4 + 1 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (26649351041021) and next prime (26649351041059).

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 11307259 + ... + 13459301.

Almost surely, 2^{26649351041040} is an apocalyptic number.

26649351041040 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 26649351041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58135092803424).

26649351041040 is an abundant number, since it is smaller than the sum of its proper divisors (89620834565808).

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

26649351041040 is a wasteful number, since it uses less digits than its factorization.

26649351041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152098 (or 2152073 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 26649351041040 in words is "twenty-six trillion, six hundred forty-nine billion, three hundred fifty-one million, forty-one thousand, forty".