1153405440 has 640 divisors, whose sum is σ = 4702199040. Its totient is φ = 265420800.

The previous prime is 1153405423. The next prime is 1153405457. The reversal of 1153405440 is 445043511.

It is a happy number.

1153405440 is a `hidden beast` number, since 115 + 3 + 4 + 0 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1153405423) and next prime (1153405457).

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28131820 + ... + 28131860.

It is an arithmetic number, because the mean of its divisors is an integer number (7347186).

Almost surely, 2^1153405440 is an apocalyptic number.

1153405440 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 1153405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351099520).

1153405440 is an abundant number, since it is smaller than the sum of its proper divisors (3548793600).

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

1153405440 is a wasteful number, since it uses less digits than its factorization.

1153405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 99 counting only the distinct ones).

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

The square root of 1153405440 is about 33961.8232726101. The cubic root of 1153405440 is about 1048.7226917028.

Adding to 1153405440 its reverse (445043511), we get a palindrome (1598448951).

The spelling of 1153405440 in words is "one billion, one hundred fifty-three million, four hundred five thousand, four hundred forty".