1351408642740 has 144 divisors (see below), whose sum is σ = 4419984952656. Its totient is φ = 332248780800.

The previous prime is 1351408642739. The next prime is 1351408642741. The reversal of 1351408642740 is 472468041531.

1351408642740 is a `hidden beast` number, since 1 + 3 + 5 + 140 + 86 + 427 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1351408642739) and next prime (1351408642741).

It can be written as a sum of positive squares in 8 ways, for example, as 303737663376 + 1047670979364 = 551124^2 + 1023558^2 .

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 (1351408642741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1569420 + ... + 2272860.

It is an arithmetic number, because the mean of its divisors is an integer number (30694339949).

Almost surely, 2^{1351408642740} is an apocalyptic number.

1351408642740 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 1351408642740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209992476328).

1351408642740 is an abundant number, since it is smaller than the sum of its proper divisors (3068576309916).

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

1351408642740 is a wasteful number, since it uses less digits than its factorization.

1351408642740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704290 (or 704285 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1351408642740 in words is "one trillion, three hundred fifty-one billion, four hundred eight million, six hundred forty-two thousand, seven hundred forty".