1351492477440 has 320 divisors, whose sum is σ = 5021477176320. Its totient is φ = 303676047360.

The previous prime is 1351492477427. The next prime is 1351492477441. The reversal of 1351492477440 is 447742941531.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (1351492477441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2958795 + ... + 3384885.

It is an arithmetic number, because the mean of its divisors is an integer number (15692116176).

Almost surely, 2^{1351492477440} is an apocalyptic number.

1351492477440 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 1351492477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510738588160).

1351492477440 is an abundant number, since it is smaller than the sum of its proper divisors (3669984698880).

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

1351492477440 is an equidigital number, since it uses as much as digits as its factorization.

1351492477440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426183 (or 426167 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 1351492477440 in words is "one trillion, three hundred fifty-one billion, four hundred ninety-two million, four hundred seventy-seven thousand, four hundred forty".