1153554413440 has 192 divisors, whose sum is σ = 3257638851600. Its totient is φ = 387206676480.

The previous prime is 1153554413369. The next prime is 1153554413443. The reversal of 1153554413440 is 443144553511.

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 = 1153554413393 and 1153554413402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153554413443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 704976 + ... + 1674544.

Almost surely, 2^{1153554413440} is an apocalyptic number.

1153554413440 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 1153554413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628819425800).

1153554413440 is an abundant number, since it is smaller than the sum of its proper divisors (2104084438160).

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

1153554413440 is a wasteful number, since it uses less digits than its factorization.

1153554413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969625 (or 969600 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

Adding to 1153554413440 its reverse (443144553511), we get a palindrome (1596698966951).

The spelling of 1153554413440 in words is "one trillion, one hundred fifty-three billion, five hundred fifty-four million, four hundred thirteen thousand, four hundred forty".