1141970038272 has 240 divisors, whose sum is σ = 3770458005600. Its totient is φ = 325945737216.

The previous prime is 1141970038271. The next prime is 1141970038273. The reversal of 1141970038272 is 2728300791411.

1141970038272 is a `hidden beast` number, since 1 + 14 + 197 + 0 + 0 + 382 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (1141970038271) and next prime (1141970038273).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141970038271) 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 23 ways as a sum of consecutive naturals, for example, 32657854 + ... + 32692802.

It is an arithmetic number, because the mean of its divisors is an integer number (15710241690).

Almost surely, 2^{1141970038272} is an apocalyptic number.

1141970038272 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 1141970038272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885229002800).

1141970038272 is an abundant number, since it is smaller than the sum of its proper divisors (2628487967328).

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

1141970038272 is a wasteful number, since it uses less digits than its factorization.

1141970038272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35993 (or 35974 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 1141970038272 in words is "one trillion, one hundred forty-one billion, nine hundred seventy million, thirty-eight thousand, two hundred seventy-two".