1144361516040 has 384 divisors, whose sum is σ = 3794791459680. Its totient is φ = 299040768000.

The previous prime is 1144361516021. The next prime is 1144361516099. The reversal of 1144361516040 is 406151634411.

1144361516040 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 36 + 15 + 1 + 604 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 313077636 + 1144048438404 = 17694^2 + 1069602^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1144361515986 and 1144361516004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2196470980 + ... + 2196471500.

Almost surely, 2^{1144361516040} is an apocalyptic number.

1144361516040 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 1144361516040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897395729840).

1144361516040 is an abundant number, since it is smaller than the sum of its proper divisors (2650429943640).

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

1144361516040 is a wasteful number, since it uses less digits than its factorization.

1144361516040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1144361516040 in words is "one trillion, one hundred forty-four billion, three hundred sixty-one million, five hundred sixteen thousand, forty".