1130201410440 has 256 divisors, whose sum is σ = 3665419776000. Its totient is φ = 277883688960.

The previous prime is 1130201410439. The next prime is 1130201410469. The reversal of 1130201410440 is 440141020311.

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, 19152180 + ... + 19211100.

It is an arithmetic number, because the mean of its divisors is an integer number (14318046000).

Almost surely, 2^{1130201410440} is an apocalyptic number.

1130201410440 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 1130201410440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832709888000).

1130201410440 is an abundant number, since it is smaller than the sum of its proper divisors (2535218365560).

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

1130201410440 is a wasteful number, since it uses less digits than its factorization.

1130201410440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59180 (or 59176 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1130201410440 its reverse (440141020311), we get a palindrome (1570342430751).

The spelling of 1130201410440 in words is "one trillion, one hundred thirty billion, two hundred one million, four hundred ten thousand, four hundred forty".