1263438417150 has 1152 divisors, whose sum is σ = 4540245405696. Its totient is φ = 254107238400.

The previous prime is 1263438417091. The next prime is 1263438417173. The reversal of 1263438417150 is 517148343621.

1263438417150 is a `hidden beast` number, since 1 + 2 + 63 + 438 + 4 + 1 + 7 + 150 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1263438417096 and 1263438417105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2130587254 + ... + 2130587846.

It is an arithmetic number, because the mean of its divisors is an integer number (3941185248).

Almost surely, 2^{1263438417150} is an apocalyptic number.

1263438417150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1263438417150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270122702848).

1263438417150 is an abundant number, since it is smaller than the sum of its proper divisors (3276806988546).

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

1263438417150 is a wasteful number, since it uses less digits than its factorization.

1263438417150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1263438417150 in words is "one trillion, two hundred sixty-three billion, four hundred thirty-eight million, four hundred seventeen thousand, one hundred fifty".