1151069040 has 480 divisors, whose sum is σ = 4512568320. Its totient is φ = 260198400.

The previous prime is 1151069009. The next prime is 1151069041. The reversal of 1151069040 is 409601511.

1151069040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1151068995 and 1151069013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1151069041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12933316 + ... + 12933404.

It is an arithmetic number, because the mean of its divisors is an integer number (9401184).

Almost surely, 2^1151069040 is an apocalyptic number.

1151069040 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 1151069040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256284160).

1151069040 is an abundant number, since it is smaller than the sum of its proper divisors (3361499280).

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

1151069040 is a wasteful number, since it uses less digits than its factorization.

1151069040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1151069040 is about 33927.4083890886. The cubic root of 1151069040 is about 1048.0140966967.

The spelling of 1151069040 in words is "one billion, one hundred fifty-one million, sixty-nine thousand, forty".