1405103114340 has 288 divisors, whose sum is σ = 4339467132000. Its totient is φ = 367974752256.

The previous prime is 1405103114287. The next prime is 1405103114369. The reversal of 1405103114340 is 434113015041.

1405103114340 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 1 + 0 + 311 + 4 + 340 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 353891732544 + 1051211381796 = 594888^2 + 1025286^2 .

It is a super-2 number, since 2×1405103114340² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1244554896 + ... + 1244556024.

Almost surely, 2^{1405103114340} is an apocalyptic number.

1405103114340 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 1405103114340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169733566000).

1405103114340 is an abundant number, since it is smaller than the sum of its proper divisors (2934364017660).

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

1405103114340 is a wasteful number, since it uses less digits than its factorization.

1405103114340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1405103114340 its reverse (434113015041), we get a palindrome (1839216129381).

The spelling of 1405103114340 in words is "one trillion, four hundred five billion, one hundred three million, one hundred fourteen thousand, three hundred forty".