1292431648440 has 128 divisors (see below), whose sum is σ = 3958359840000. Its totient is φ = 337488150528.

The previous prime is 1292431648423. The next prime is 1292431648447. The reversal of 1292431648440 is 448461342921.

It is a self number, because there is not a number n which added to its sum of digits gives 1292431648440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1292431648447) 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, 1464411 + ... + 2174709.

It is an arithmetic number, because the mean of its divisors is an integer number (30924686250).

Almost surely, 2^{1292431648440} is an apocalyptic number.

1292431648440 is a gapful number since it is divisible by the number (10) 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 1292431648440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979179920000).

1292431648440 is an abundant number, since it is smaller than the sum of its proper divisors (2665928191560).

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

1292431648440 is a wasteful number, since it uses less digits than its factorization.

1292431648440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710629 (or 710625 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 1292431648440 in words is "one trillion, two hundred ninety-two billion, four hundred thirty-one million, six hundred forty-eight thousand, four hundred forty".