1144734469920 has 672 divisors, whose sum is σ = 4313773966320. Its totient is φ = 285937827840.

The previous prime is 1144734469891. The next prime is 1144734469927. The reversal of 1144734469920 is 299644374411.

It is a happy number.

1144734469920 is a `hidden beast` number, since 1 + 1 + 44 + 73 + 446 + 9 + 92 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 524691614736 + 620042855184 = 724356^2 + 787428^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1144734469927) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 454078260 + ... + 454080780.

Almost surely, 2^{1144734469920} is an apocalyptic number.

1144734469920 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 1144734469920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156886983160).

1144734469920 is an abundant number, since it is smaller than the sum of its proper divisors (3169039496400).

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

1144734469920 is a wasteful number, since it uses less digits than its factorization.

1144734469920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 1144734469920 in words is "one trillion, one hundred forty-four billion, seven hundred thirty-four million, four hundred sixty-nine thousand, nine hundred twenty".