1151494406280 has 192 divisors, whose sum is σ = 3906512578800. Its totient is φ = 293868103680.

The previous prime is 1151494406273. The next prime is 1151494406287. The reversal of 1151494406280 is 826044941511.

1151494406280 is a `hidden beast` number, since 1 + 1 + 5 + 14 + 9 + 4 + 4 + 0 + 628 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1151494406273) and next prime (1151494406287).

It can be written as a sum of positive squares in 8 ways, for example, as 820499002596 + 330995403684 = 905814^2 + 575322^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1151494406287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103926 + ... + 1521114.

Almost surely, 2^{1151494406280} is an apocalyptic number.

1151494406280 is a gapful number since it is divisible by the number (10) 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 1151494406280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953256289400).

1151494406280 is an abundant number, since it is smaller than the sum of its proper divisors (2755018172520).

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

1151494406280 is a wasteful number, since it uses less digits than its factorization.

1151494406280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417304 (or 1417297 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1151494406280 in words is "one trillion, one hundred fifty-one billion, four hundred ninety-four million, four hundred six thousand, two hundred eighty".