26142405744 has 160 divisors (see below), whose sum is σ = 84054620160. Its totient is φ = 6817130496.

The previous prime is 26142405739. The next prime is 26142405749. The reversal of 26142405744 is 44750424162.

It is an interprime number because it is at equal distance from previous prime (26142405739) and next prime (26142405749).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26142405749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355129 + ... + 422375.

It is an arithmetic number, because the mean of its divisors is an integer number (525341376).

Almost surely, 2^26142405744 is an apocalyptic number.

26142405744 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 26142405744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42027310080).

26142405744 is an abundant number, since it is smaller than the sum of its proper divisors (57912214416).

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

26142405744 is a wasteful number, since it uses less digits than its factorization.

26142405744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67367 (or 67361 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

The spelling of 26142405744 in words is "twenty-six billion, one hundred forty-two million, four hundred five thousand, seven hundred forty-four".