1426714041600 has 1296 divisors, whose sum is σ = 5533264848384. Its totient is φ = 363294720000.

The previous prime is 1426714041583. The next prime is 1426714041607. The reversal of 1426714041600 is 61404176241.

It is a happy number.

1426714041600 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 7 + 1 + 4 + 0 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1426714041607) 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, 4869331054 + ... + 4869331346.

Almost surely, 2^{1426714041600} is an apocalyptic number.

1426714041600 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 1426714041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766632424192).

1426714041600 is an abundant number, since it is smaller than the sum of its proper divisors (4106550806784).

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

1426714041600 is a wasteful number, since it uses less digits than its factorization.

1426714041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1426714041600 in words is "one trillion, four hundred twenty-six billion, seven hundred fourteen million, forty-one thousand, six hundred".