1351031723440 has 320 divisors, whose sum is σ = 3886779230208. Its totient is φ = 426217881600.

The previous prime is 1351031723387. The next prime is 1351031723443. The reversal of 1351031723440 is 443271301531.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 1351031723396 and 1351031723405.

It is not an unprimeable number, because it can be changed into a prime (1351031723443) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 96973275 + ... + 96987205.

Almost surely, 2^{1351031723440} is an apocalyptic number.

1351031723440 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 1351031723440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943389615104).

1351031723440 is an abundant number, since it is smaller than the sum of its proper divisors (2535747506768).

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

1351031723440 is a wasteful number, since it uses less digits than its factorization.

1351031723440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14196 (or 14190 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 1351031723440 in words is "one trillion, three hundred fifty-one billion, thirty-one million, seven hundred twenty-three thousand, four hundred forty".