1279727972400 has 480 divisors, whose sum is σ = 4234948945920. Its totient is φ = 330188451840.

The previous prime is 1279727972273. The next prime is 1279727972401. The reversal of 1279727972400 is 42797279721.

It is not an unprimeable number, because it can be changed into a prime (1279727972401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2544190549 + ... + 2544191051.

It is an arithmetic number, because the mean of its divisors is an integer number (8822810304).

Almost surely, 2^{1279727972400} is an apocalyptic number.

1279727972400 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 1279727972400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117474472960).

1279727972400 is an abundant number, since it is smaller than the sum of its proper divisors (2955220973520).

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

1279727972400 is a wasteful number, since it uses less digits than its factorization.

1279727972400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 57.

The spelling of 1279727972400 in words is "one trillion, two hundred seventy-nine billion, seven hundred twenty-seven million, nine hundred seventy-two thousand, four hundred".