1263430517400 has 576 divisors, whose sum is σ = 4537773938880. Its totient is φ = 313926451200.

The previous prime is 1263430517381. The next prime is 1263430517449. The reversal of 1263430517400 is 47150343621.

1263430517400 is a `hidden beast` number, since 1 + 2 + 63 + 43 + 0 + 517 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2335361130 + ... + 2335361670.

It is an arithmetic number, because the mean of its divisors is an integer number (7878079755).

Almost surely, 2^{1263430517400} is an apocalyptic number.

1263430517400 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 1263430517400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268886969440).

1263430517400 is an abundant number, since it is smaller than the sum of its proper divisors (3274343421480).

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

1263430517400 is a wasteful number, since it uses less digits than its factorization.

1263430517400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 1263430517400 in words is "one trillion, two hundred sixty-three billion, four hundred thirty million, five hundred seventeen thousand, four hundred".