1405100012316 has 384 divisors, whose sum is σ = 4450652946432. Its totient is φ = 335955628800.

The previous prime is 1405100012221. The next prime is 1405100012347. The reversal of 1405100012316 is 6132100015041.

It is a happy number.

It is a super-2 number, since 2×1405100012316² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 626436691 + ... + 626438933.

It is an arithmetic number, because the mean of its divisors is an integer number (11590242048).

Almost surely, 2^{1405100012316} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1405100012316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225326473216).

1405100012316 is an abundant number, since it is smaller than the sum of its proper divisors (3045552934116).

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

1405100012316 is a wasteful number, since it uses less digits than its factorization.

1405100012316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 1405100012316 its reverse (6132100015041), we get a palindrome (7537200027357).

The spelling of 1405100012316 in words is "one trillion, four hundred five billion, one hundred million, twelve thousand, three hundred sixteen".