1151749440 has 84 divisors (see below), whose sum is σ = 3961548084. Its totient is φ = 307132416.

The previous prime is 1151749427. The next prime is 1151749463. The reversal of 1151749440 is 449471511.

1151749440 is a `hidden beast` number, since 11 + 517 + 4 + 94 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 404492544 + 747256896 = 20112^2 + 27336^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1151749395 and 1151749404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197077 + ... + 202836.

Almost surely, 2^1151749440 is an apocalyptic number.

1151749440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1151749440 is an abundant number, since it is smaller than the sum of its proper divisors (2809798644).

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

1151749440 is a wasteful number, since it uses less digits than its factorization.

1151749440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399936 (or 399923 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1151749440 is about 33937.4341988312. The cubic root of 1151749440 is about 1048.2205506724.

The spelling of 1151749440 in words is "one billion, one hundred fifty-one million, seven hundred forty-nine thousand, four hundred forty".