1263191040 has 264 divisors, whose sum is σ = 4445101440. Its totient is φ = 331628544.

The previous prime is 1263191023. The next prime is 1263191047. The reversal of 1263191040 is 401913621.

1263191040 is a `hidden beast` number, since 12 + 631 + 9 + 10 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1263190995 and 1263191013.

It is not an unprimeable number, because it can be changed into a prime (1263191047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3640147 + ... + 3640493.

Almost surely, 2^1263191040 is an apocalyptic number.

1263191040 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 1263191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222550720).

1263191040 is an abundant number, since it is smaller than the sum of its proper divisors (3181910400).

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

1263191040 is a wasteful number, since it uses less digits than its factorization.

1263191040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1263191040 is about 35541.3989595232. The cubic root of 1263191040 is about 1080.9933247973.

The spelling of 1263191040 in words is "one billion, two hundred sixty-three million, one hundred ninety-one thousand, forty".