1151040000 has 400 divisors, whose sum is σ = 4218524640. Its totient is φ = 276480000.

The previous prime is 1151039999. The next prime is 1151040017. The reversal of 1151040000 is 401511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10559946 + ... + 10560054.

Almost surely, 2^1151040000 is an apocalyptic number.

1151040000 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 1151040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109262320).

1151040000 is an abundant number, since it is smaller than the sum of its proper divisors (3067484640).

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

1151040000 is an equidigital number, since it uses as much as digits as its factorization.

1151040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 1151040000 is about 33926.9804138240. The cubic root of 1151040000 is about 1048.0052832708.

Adding to 1151040000 its reverse (401511), we get a palindrome (1151441511).

The spelling of 1151040000 in words is "one billion, one hundred fifty-one million, forty thousand".