1161427770400 has 72 divisors (see below), whose sum is σ = 2835632257920. Its totient is φ = 464522492160.

The previous prime is 1161427770367. The next prime is 1161427770403. The reversal of 1161427770400 is 40777241611.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1161427770403) 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 11 ways as a sum of consecutive naturals, for example, 8126761 + ... + 8268439.

It is an arithmetic number, because the mean of its divisors is an integer number (39383781360).

Almost surely, 2^{1161427770400} is an apocalyptic number.

1161427770400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1161427770400 is an abundant number, since it is smaller than the sum of its proper divisors (1674204487520).

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

1161427770400 is a wasteful number, since it uses less digits than its factorization.

1161427770400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151946 (or 151933 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 40.

The spelling of 1161427770400 in words is "one trillion, one hundred sixty-one billion, four hundred twenty-seven million, seven hundred seventy thousand, four hundred".