1325969874432 has 480 divisors, whose sum is σ = 4610024939520. Its totient is φ = 358417612800.

The previous prime is 1325969874431. The next prime is 1325969874433. The reversal of 1325969874432 is 2344789695231.

1325969874432 is a `hidden beast` number, since 1 + 3 + 2 + 59 + 69 + 87 + 443 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1325969874431) and next prime (1325969874433).

It is a super-2 number, since 2×1325969874432² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 1325969874432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1325969874431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 797335233 + ... + 797336895.

It is an arithmetic number, because the mean of its divisors is an integer number (9604218624).

Almost surely, 2^{1325969874432} is an apocalyptic number.

1325969874432 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 1325969874432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305012469760).

1325969874432 is an abundant number, since it is smaller than the sum of its proper divisors (3284055065088).

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

1325969874432 is a wasteful number, since it uses less digits than its factorization.

1325969874432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014 (or 2995 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 1325969874432 in words is "one trillion, three hundred twenty-five billion, nine hundred sixty-nine million, eight hundred seventy-four thousand, four hundred thirty-two".