1267801531944 has 128 divisors (see below), whose sum is σ = 3266402751360. Its totient is φ = 409812480000.

The previous prime is 1267801531939. The next prime is 1267801531949. The reversal of 1267801531944 is 4491351087621.

It is an interprime number because it is at equal distance from previous prime (1267801531939) and next prime (1267801531949).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1267801531949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116402739 + ... + 116413629.

It is an arithmetic number, because the mean of its divisors is an integer number (25518771495).

It is a 1-persistent number, because it is pandigital, but 2⋅1267801531944 = 2535603063888 is not.

Almost surely, 2^{1267801531944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1267801531944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633201375680).

1267801531944 is an abundant number, since it is smaller than the sum of its proper divisors (1998601219416).

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

1267801531944 is a wasteful number, since it uses less digits than its factorization.

1267801531944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11643 (or 11639 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 1267801531944 in words is "one trillion, two hundred sixty-seven billion, eight hundred one million, five hundred thirty-one thousand, nine hundred forty-four".