1231295040 has 448 divisors, whose sum is σ = 4700747520. Its totient is φ = 302284800.

The previous prime is 1231295017. The next prime is 1231295053. The reversal of 1231295040 is 405921321.

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 = 1231294995 and 1231295013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12190990 + ... + 12191090.

It is an arithmetic number, because the mean of its divisors is an integer number (10492740).

Almost surely, 2^1231295040 is an apocalyptic number.

1231295040 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 1231295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350373760).

1231295040 is an abundant number, since it is smaller than the sum of its proper divisors (3469452480).

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

1231295040 is a wasteful number, since it uses less digits than its factorization.

1231295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1231295040 is about 35089.8139066026. The cubic root of 1231295040 is about 1071.8171701270.

The spelling of 1231295040 in words is "one billion, two hundred thirty-one million, two hundred ninety-five thousand, forty".