1161623980440 has 384 divisors, whose sum is σ = 4724367897600. Its totient is φ = 240477557760.

The previous prime is 1161623980421. The next prime is 1161623980463. The reversal of 1161623980440 is 440893261611.

1161623980440 is a `hidden beast` number, since 1 + 1 + 61 + 62 + 3 + 98 + 0 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 7378789 + ... + 7534571.

It is an arithmetic number, because the mean of its divisors is an integer number (12303041400).

Almost surely, 2^{1161623980440} is an apocalyptic number.

1161623980440 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 1161623980440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362183948800).

1161623980440 is an abundant number, since it is smaller than the sum of its proper divisors (3562743917160).

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

1161623980440 is a wasteful number, since it uses less digits than its factorization.

1161623980440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156087 (or 156080 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1161623980440 in words is "one trillion, one hundred sixty-one billion, six hundred twenty-three million, nine hundred eighty thousand, four hundred forty".