1407379705368 has 256 divisors, whose sum is σ = 4576086144000. Its totient is φ = 350270521344.

The previous prime is 1407379705363. The next prime is 1407379705373. The reversal of 1407379705368 is 8635079737041.

It is an interprime number because it is at equal distance from previous prime (1407379705363) and next prime (1407379705373).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1407379705363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10598488 + ... + 10730456.

It is an arithmetic number, because the mean of its divisors is an integer number (17875336500).

Almost surely, 2^{1407379705368} 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 1407379705368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288043072000).

1407379705368 is an abundant number, since it is smaller than the sum of its proper divisors (3168706438632).

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

1407379705368 is a wasteful number, since it uses less digits than its factorization.

1407379705368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132274 (or 132270 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 60.

The spelling of 1407379705368 in words is "one trillion, four hundred seven billion, three hundred seventy-nine million, seven hundred five thousand, three hundred sixty-eight".