1426146411200 has 252 divisors, whose sum is σ = 4192480748880. Its totient is φ = 475748259840.

The previous prime is 1426146411127. The next prime is 1426146411259. The reversal of 1426146411200 is 21146416241.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2654981 + ... + 3146619.

Almost surely, 2^{1426146411200} is an apocalyptic number.

1426146411200 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 1426146411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096240374440).

1426146411200 is an abundant number, since it is smaller than the sum of its proper divisors (2766334337680).

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

1426146411200 is a wasteful number, since it uses less digits than its factorization.

1426146411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491712 (or 491690 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 1426146411200 in words is "one trillion, four hundred twenty-six billion, one hundred forty-six million, four hundred eleven thousand, two hundred".