2129427266400 has 864 divisors, whose sum is σ = 8817335654400. Its totient is φ = 473427763200.

The previous prime is 2129427266357. The next prime is 2129427266401. The reversal of 2129427266400 is 46627249212.

2129427266400 is a `hidden beast` number, since 2 + 129 + 427 + 2 + 66 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129427266401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 783164241 + ... + 783166959.

It is an arithmetic number, because the mean of its divisors is an integer number (10205249600).

Almost surely, 2^{2129427266400} is an apocalyptic number.

2129427266400 is a gapful number since it is divisible by the number (20) 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 2129427266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408667827200).

2129427266400 is an abundant number, since it is smaller than the sum of its proper divisors (6687908388000).

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

2129427266400 is a wasteful number, since it uses less digits than its factorization.

2129427266400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2129427266400 in words is "two trillion, one hundred twenty-nine billion, four hundred twenty-seven million, two hundred sixty-six thousand, four hundred".