1157928797041 has 27 divisors (see below), whose sum is σ = 1204775332929. Its totient is φ = 1112881236768.

The previous prime is 1157928796993. The next prime is 1157928797059. The reversal of 1157928797041 is 1407978297511.

The square root of 1157928797041 is 1076071.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 793711719025 + 364217078016 = 890905^2 + 603504^2 .

It is not a de Polignac number, because 1157928797041 - 2³³ = 1149338862449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1157928797741) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5056457515 + ... + 5056457743.

It is an arithmetic number, because the mean of its divisors is an integer number (44621308627).

Almost surely, 2^{1157928797041} is an apocalyptic number.

1157928797041 is the 1076071-st square number.

1157928797041 is the 538036-th centered octagonal number.

It is an amenable number.

1157928797041 is a deficient number, since it is larger than the sum of its proper divisors (46846535888).

1157928797041 is an frugal number, since it uses more digits than its factorization.

1157928797041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 61.

The spelling of 1157928797041 in words is "one trillion, one hundred fifty-seven billion, nine hundred twenty-eight million, seven hundred ninety-seven thousand, forty-one".