1153221413040 has 60 divisors (see below), whose sum is σ = 3872901914544. Its totient is φ = 307525709952.

The previous prime is 1153221413021. The next prime is 1153221413041. The reversal of 1153221413040 is 403141223511.

1153221413040 is a `hidden beast` number, since 1 + 1 + 532 + 21 + 41 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 1153221412995 and 1153221413013.

It is not an unprimeable number, because it can be changed into a prime (1153221413041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 800847484 + ... + 800848923.

Almost surely, 2^{1153221413040} is an apocalyptic number.

1153221413040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1153221413040 is an abundant number, since it is smaller than the sum of its proper divisors (2719680501504).

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

1153221413040 is a wasteful number, since it uses less digits than its factorization.

1153221413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601696426 (or 1601696417 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1153221413040 its reverse (403141223511), we get a palindrome (1556362636551).

The spelling of 1153221413040 in words is "one trillion, one hundred fifty-three billion, two hundred twenty-one million, four hundred thirteen thousand, forty".