1071177665740 has 96 divisors (see below), whose sum is σ = 2768881933440. Its totient is φ = 338973382656.

The previous prime is 1071177665737. The next prime is 1071177665749. The reversal of 1071177665740 is 475667711701.

1071177665740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1071177665740² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (1071177665749) 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, 20381416 + ... + 20433904.

It is an arithmetic number, because the mean of its divisors is an integer number (28842520140).

Almost surely, 2^{1071177665740} is an apocalyptic number.

1071177665740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1071177665740 is an abundant number, since it is smaller than the sum of its proper divisors (1697704267700).

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

1071177665740 is a wasteful number, since it uses less digits than its factorization.

1071177665740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63731 (or 63729 counting only the distinct ones).

The product of its (nonzero) digits is 1728720, while the sum is 52.

The spelling of 1071177665740 in words is "one trillion, seventy-one billion, one hundred seventy-seven million, six hundred sixty-five thousand, seven hundred forty".