1141270767552 has 112 divisors (see below), whose sum is σ = 3074036942592. Its totient is φ = 373626839040.

The previous prime is 1141270767509. The next prime is 1141270767587. The reversal of 1141270767552 is 2557670721411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2205853 + ... + 2673635.

It is an arithmetic number, because the mean of its divisors is an integer number (27446758416).

Almost surely, 2^{1141270767552} is an apocalyptic number.

1141270767552 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 1141270767552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537018471296).

1141270767552 is an abundant number, since it is smaller than the sum of its proper divisors (1932766175040).

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

1141270767552 is a wasteful number, since it uses less digits than its factorization.

1141270767552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468026 (or 468016 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 48.

The spelling of 1141270767552 in words is "one trillion, one hundred forty-one billion, two hundred seventy million, seven hundred sixty-seven thousand, five hundred fifty-two".