1150041760000 has 405 divisors, whose sum is σ = 3345644106651. Its totient is φ = 393270528000.

The previous prime is 1150041759989. The next prime is 1150041760001. The reversal of 1150041760000 is 671400511.

It is a happy number.

The square root of 1150041760000 is 1072400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 90163273984 + 1059878486016 = 300272^2 + 1029504^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1150041760001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3002719809 + ... + 3002720191.

Almost surely, 2^{1150041760000} is an apocalyptic number.

1150041760000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1150041760000 is the 1072400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1150041760000

1150041760000 is an abundant number, since it is smaller than the sum of its proper divisors (2195602346651).

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

1150041760000 is an frugal number, since it uses more digits than its factorization.

1150041760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

Multiplying 1150041760000 by its sum of digits (25), we get a square (28751044000000 = 5362000²).

1150041760000 divided by its sum of digits (25) gives a square (46001670400 = 214480²).

The spelling of 1150041760000 in words is "one trillion, one hundred fifty billion, forty-one million, seven hundred sixty thousand".