1149314040 has 192 divisors, whose sum is σ = 4296015360. Its totient is φ = 261031680.

The previous prime is 1149314039. The next prime is 1149314069. The reversal of 1149314040 is 404139411.

It is a super-2 number, since 2×1149314040² = 2641845525082243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1149313995 and 1149314013.

It is a congruent number.

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, 419475 + ... + 422205.

It is an arithmetic number, because the mean of its divisors is an integer number (22375080).

Almost surely, 2^1149314040 is an apocalyptic number.

1149314040 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 1149314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148007680).

1149314040 is an abundant number, since it is smaller than the sum of its proper divisors (3146701320).

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

1149314040 is a wasteful number, since it uses less digits than its factorization.

1149314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1149314040 is about 33901.5344785454. The cubic root of 1149314040 is about 1047.4812006887.

The spelling of 1149314040 in words is "one billion, one hundred forty-nine million, three hundred fourteen thousand, forty".