1272642109440 has 512 divisors, whose sum is σ = 4418044646400. Its totient is φ = 310955212800.

The previous prime is 1272642109313. The next prime is 1272642109441. The reversal of 1272642109440 is 449012462721.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×1272642109440² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1272642109392 and 1272642109401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272642109441) 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, 964853101 + ... + 964854419.

It is an arithmetic number, because the mean of its divisors is an integer number (8628993450).

Almost surely, 2^{1272642109440} is an apocalyptic number.

1272642109440 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 1272642109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209022323200).

1272642109440 is an abundant number, since it is smaller than the sum of its proper divisors (3145402536960).

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

1272642109440 is a wasteful number, since it uses less digits than its factorization.

1272642109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 1272642109440 in words is "one trillion, two hundred seventy-two billion, six hundred forty-two million, one hundred nine thousand, four hundred forty".