1151909640 has 192 divisors, whose sum is σ = 4466793600. Its totient is φ = 263281536.

The previous prime is 1151909611. The next prime is 1151909653. The reversal of 1151909640 is 469091511.

1151909640 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 9 + 0 + 9 + 640 = 666.

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 = 1151909595 and 1151909604.

It is an unprimeable number.

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, 42037 + ... + 63803.

It is an arithmetic number, because the mean of its divisors is an integer number (23264550).

Almost surely, 2^1151909640 is an apocalyptic number.

1151909640 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 1151909640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233396800).

1151909640 is an abundant number, since it is smaller than the sum of its proper divisors (3314883960).

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

1151909640 is a wasteful number, since it uses less digits than its factorization.

1151909640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21801 (or 21784 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 1151909640 is about 33939.7943423351. The cubic root of 1151909640 is about 1048.2691483798.

The spelling of 1151909640 in words is "one billion, one hundred fifty-one million, nine hundred nine thousand, six hundred forty".