1151351040 has 432 divisors, whose sum is σ = 4445945280. Its totient is φ = 252887040.

The previous prime is 1151351029. The next prime is 1151351051. The reversal of 1151351040 is 401531511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1151351029) and next prime (1151351051).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1151350998 and 1151351016.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5456535 + ... + 5456745.

It is an arithmetic number, because the mean of its divisors is an integer number (10291540).

Almost surely, 2^1151351040 is an apocalyptic number.

1151351040 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 1151351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222972640).

1151351040 is an abundant number, since it is smaller than the sum of its proper divisors (3294594240).

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

1151351040 is a wasteful number, since it uses less digits than its factorization.

1151351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 1151351040 is about 33931.5640665148. The cubic root of 1151351040 is about 1048.0996739105.

Adding to 1151351040 its reverse (401531511), we get a palindrome (1552882551).

The spelling of 1151351040 in words is "one billion, one hundred fifty-one million, three hundred fifty-one thousand, forty".