1426854140100 has 243 divisors, whose sum is σ = 4635309542773. Its totient is φ = 367106369280.

The previous prime is 1426854140081. The next prime is 1426854140113. The reversal of 1426854140100 is 10414586241.

The square root of 1426854140100 is 1194510.

It is a perfect power (a square), and thus also a powerful number.

1426854140100 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 8 + 541 + 4 + 0 + 100 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 71343478404 + 1355510661696 = 267102^2 + 1164264^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1039223014 + ... + 1039224386.

Almost surely, 2^{1426854140100} is an apocalyptic number.

1426854140100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1426854140100 is the 1194510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1426854140100

1426854140100 is an abundant number, since it is smaller than the sum of its proper divisors (3208455402673).

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

1426854140100 is a wasteful number, since it uses less digits than its factorization.

1426854140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Multiplying 1426854140100 by its sum of digits (36), we get a square (51366749043600 = 7167060²).

1426854140100 divided by its sum of digits (36) gives a square (39634837225 = 199085²).

The spelling of 1426854140100 in words is "one trillion, four hundred twenty-six billion, eight hundred fifty-four million, one hundred forty thousand, one hundred".