1267791782400 has 2400 divisors, whose sum is σ = 5848372430208. Its totient is φ = 266482483200.

The previous prime is 1267791782381. The next prime is 1267791782429. The reversal of 1267791782400 is 42871977621.

1267791782400 is a `hidden beast` number, since 1 + 2 + 6 + 77 + 91 + 7 + 82 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2520460549 + ... + 2520461051.

Almost surely, 2^{1267791782400} is an apocalyptic number.

1267791782400 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 1267791782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924186215104).

1267791782400 is an abundant number, since it is smaller than the sum of its proper divisors (4580580647808).

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

1267791782400 is a wasteful number, since it uses less digits than its factorization.

1267791782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 1267791782400 in words is "one trillion, two hundred sixty-seven billion, seven hundred ninety-one million, seven hundred eighty-two thousand, four hundred".