1261344606432 has 96 divisors (see below), whose sum is σ = 3364511157504. Its totient is φ = 413681049600.

The previous prime is 1261344606409. The next prime is 1261344606439. The reversal of 1261344606432 is 2346064431621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261344606439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3158208 + ... + 3535104.

It is an arithmetic number, because the mean of its divisors is an integer number (35046991224).

Almost surely, 2^{1261344606432} is an apocalyptic number.

1261344606432 is a gapful number since it is divisible by the number (12) 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 1261344606432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682255578752).

1261344606432 is an abundant number, since it is smaller than the sum of its proper divisors (2103166551072).

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

1261344606432 is a wasteful number, since it uses less digits than its factorization.

1261344606432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377472 (or 377464 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 1261344606432 in words is "one trillion, two hundred sixty-one billion, three hundred forty-four million, six hundred six thousand, four hundred thirty-two".