1050127276400 has 240 divisors, whose sum is σ = 2606419095168. Its totient is φ = 406342656000.

The previous prime is 1050127276399. The next prime is 1050127276421. The reversal of 1050127276400 is 46727210501.

It is a super-2 number, since 2×1050127276400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1231098374 + ... + 1231099226.

Almost surely, 2^{1050127276400} is an apocalyptic number.

1050127276400 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 1050127276400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303209547584).

1050127276400 is an abundant number, since it is smaller than the sum of its proper divisors (1556291818768).

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

1050127276400 is a wasteful number, since it uses less digits than its factorization.

1050127276400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 1050127276400 in words is "one trillion, fifty billion, one hundred twenty-seven million, two hundred seventy-six thousand, four hundred".