1164754402240 has 336 divisors, whose sum is σ = 3359561524704. Its totient is φ = 381867171840.

The previous prime is 1164754402219. The next prime is 1164754402241. The reversal of 1164754402240 is 422044574611.

It is a hoax number, since the sum of its digits (40) 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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 1164754402193 and 1164754402202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1164754402241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21617574 + ... + 21671386.

It is an arithmetic number, because the mean of its divisors is an integer number (9998695014).

Almost surely, 2^{1164754402240} is an apocalyptic number.

1164754402240 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 1164754402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679780762352).

1164754402240 is an abundant number, since it is smaller than the sum of its proper divisors (2194807122464).

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

1164754402240 is a wasteful number, since it uses less digits than its factorization.

1164754402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53908 (or 53887 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

Adding to 1164754402240 its reverse (422044574611), we get a palindrome (1586798976851).

The spelling of 1164754402240 in words is "one trillion, one hundred sixty-four billion, seven hundred fifty-four million, four hundred two thousand, two hundred forty".