1267142400 has 216 divisors, whose sum is σ = 4647115760. Its totient is φ = 337858560.

The previous prime is 1267142399. The next prime is 1267142407. The reversal of 1267142400 is 42417621.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1267142407) 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, 169134 + ... + 176466.

Almost surely, 2^1267142400 is an apocalyptic number.

1267142400 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 1267142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323557880).

1267142400 is an abundant number, since it is smaller than the sum of its proper divisors (3379973360).

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

1267142400 is an equidigital number, since it uses as much as digits as its factorization.

1267142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7368 (or 7343 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1267142400 is about 35596.9436890304. The cubic root of 1267142400 is about 1082.1192953543.

The spelling of 1267142400 in words is "one billion, two hundred sixty-seven million, one hundred forty-two thousand, four hundred".