1267921040400 has 675 divisors, whose sum is σ = 5146509752189. Its totient is φ = 289053838080.

The previous prime is 1267921040381. The next prime is 1267921040443. The reversal of 1267921040400 is 40401297621.

It is a happy number.

The square root of 1267921040400 is 1126020.

It is a perfect power (a square), and thus also a powerful number.

1267921040400 is a `hidden beast` number, since 1 + 2 + 67 + 92 + 104 + 0 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 456451574544 + 811469465856 = 675612^2 + 900816^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3310498609 + ... + 3310498991.

Almost surely, 2^{1267921040400} is an apocalyptic number.

1267921040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1267921040400 is the 1126020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1267921040400

1267921040400 is an abundant number, since it is smaller than the sum of its proper divisors (3878588711789).

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

1267921040400 is an frugal number, since it uses more digits than its factorization.

1267921040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 1267921040400 by its sum of digits (36), we get a square (45645157454400 = 6756120²).

1267921040400 divided by its sum of digits (36) gives a square (35220028900 = 187670²).

The spelling of 1267921040400 in words is "one trillion, two hundred sixty-seven billion, nine hundred twenty-one million, forty thousand, four hundred".