1125077040 has 200 divisors, whose sum is σ = 4042977840. Its totient is φ = 289626624.

The previous prime is 1125077029. The next prime is 1125077053. The reversal of 1125077040 is 407705211.

1125077040 is a `hidden beast` number, since 112 + 507 + 7 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1125076995 and 1125077013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 184927 + ... + 190913.

Almost surely, 2^1125077040 is an apocalyptic number.

1125077040 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 1125077040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021488920).

1125077040 is an abundant number, since it is smaller than the sum of its proper divisors (2917900800).

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

1125077040 is a wasteful number, since it uses less digits than its factorization.

1125077040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6041 (or 6026 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 1125077040 is about 33542.1680873494. The cubic root of 1125077040 is about 1040.0656516741.

The spelling of 1125077040 in words is "one billion, one hundred twenty-five million, seventy-seven thousand, forty".