1267971832440 has 448 divisors, whose sum is σ = 4356956822400. Its totient is φ = 331892121600.

The previous prime is 1267971832433. The next prime is 1267971832447. The reversal of 1267971832440 is 442381797621.

1267971832440 is a `hidden beast` number, since 1 + 267 + 9 + 7 + 18 + 324 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1267971832433) and next prime (1267971832447).

It is a super-2 number, since 2×1267971832440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1267971832447) 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 111 ways as a sum of consecutive naturals, for example, 416957320 + ... + 416960360.

It is an arithmetic number, because the mean of its divisors is an integer number (9725350050).

Almost surely, 2^{1267971832440} is an apocalyptic number.

1267971832440 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 1267971832440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178478411200).

1267971832440 is an abundant number, since it is smaller than the sum of its proper divisors (3088984989960).

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

1267971832440 is a wasteful number, since it uses less digits than its factorization.

1267971832440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 1267971832440 in words is "one trillion, two hundred sixty-seven billion, nine hundred seventy-one million, eight hundred thirty-two thousand, four hundred forty".