1353421276040 has 128 divisors (see below), whose sum is σ = 3189025382400. Its totient is φ = 516317276160.

The previous prime is 1353421276019. The next prime is 1353421276057. The reversal of 1353421276040 is 406721243531.

It is a junction number, because it is equal to n+sod(n) for n = 1353421275985 and 1353421276003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129347849 + ... + 129358311.

It is an arithmetic number, because the mean of its divisors is an integer number (24914260800).

Almost surely, 2^{1353421276040} is an apocalyptic number.

1353421276040 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 1353421276040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594512691200).

1353421276040 is an abundant number, since it is smaller than the sum of its proper divisors (1835604106360).

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

1353421276040 is a wasteful number, since it uses less digits than its factorization.

1353421276040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12007 (or 12003 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 1353421276040 in words is "one trillion, three hundred fifty-three billion, four hundred twenty-one million, two hundred seventy-six thousand, forty".