1154354040 has 192 divisors, whose sum is σ = 4340044800. Its totient is φ = 260626176.

The previous prime is 1154354027. The next prime is 1154354041. The reversal of 1154354040 is 404534511.

It is a happy number.

1154354040 is a `hidden beast` number, since 115 + 4 + 3 + 540 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1154353995 and 1154354013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1154354041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206401 + ... + 211919.

It is an arithmetic number, because the mean of its divisors is an integer number (22604400).

Almost surely, 2^1154354040 is an apocalyptic number.

1154354040 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 1154354040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170022400).

1154354040 is an abundant number, since it is smaller than the sum of its proper divisors (3185690760).

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

1154354040 is a wasteful number, since it uses less digits than its factorization.

1154354040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5626 (or 5619 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1154354040 is about 33975.7860836214. The cubic root of 1154354040 is about 1049.0101147000.

Adding to 1154354040 its reverse (404534511), we get a palindrome (1558888551).

The spelling of 1154354040 in words is "one billion, one hundred fifty-four million, three hundred fifty-four thousand, forty".