1406120426420 has 96 divisors (see below), whose sum is σ = 3177629753760. Its totient is φ = 520781414400.

The previous prime is 1406120426413. The next prime is 1406120426429. The reversal of 1406120426420 is 246240216041.

It can be written as a sum of positive squares in 16 ways, for example, as 23135018404 + 1382985408016 = 152102^2 + 1176004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406120426429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5260976 + ... + 5521784.

It is an arithmetic number, because the mean of its divisors is an integer number (33100309935).

Almost surely, 2^{1406120426420} is an apocalyptic number.

1406120426420 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 1406120426420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588814876880).

1406120426420 is an abundant number, since it is smaller than the sum of its proper divisors (1771509327340).

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

1406120426420 is a wasteful number, since it uses less digits than its factorization.

1406120426420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261093 (or 261091 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 1406120426420 in words is "one trillion, four hundred six billion, one hundred twenty million, four hundred twenty-six thousand, four hundred twenty".