1351974205440 has 192 divisors, whose sum is σ = 4805846791200. Its totient is φ = 360526381056.

The previous prime is 1351974205403. The next prime is 1351974205441. The reversal of 1351974205440 is 445024791531.

1351974205440 is a `hidden beast` number, since 1 + 3 + 5 + 19 + 74 + 20 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1351974205441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2168497 + ... + 2721456.

Almost surely, 2^{1351974205440} is an apocalyptic number.

1351974205440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1351974205440 is an abundant number, since it is smaller than the sum of its proper divisors (3453872585760).

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

1351974205440 is an equidigital number, since it uses as much as digits as its factorization.

1351974205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4889989 (or 4889963 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

Adding to 1351974205440 its reverse (445024791531), we get a palindrome (1796998996971).

The spelling of 1351974205440 in words is "one trillion, three hundred fifty-one billion, nine hundred seventy-four million, two hundred five thousand, four hundred forty".