1407013822368 has 1728 divisors, whose sum is σ = 5631717611520. Its totient is φ = 324571484160.

The previous prime is 1407013822363. The next prime is 1407013822393. The reversal of 1407013822368 is 8632283107041.

1407013822368 is a `hidden beast` number, since 1 + 407 + 0 + 1 + 3 + 8 + 2 + 236 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1407013822363) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7142202046 + ... + 7142202242.

It is an arithmetic number, because the mean of its divisors is an integer number (3259095840).

Almost surely, 2^{1407013822368} is an apocalyptic number.

1407013822368 is a gapful number since it is divisible by the number (18) 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 1407013822368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815858805760).

1407013822368 is an abundant number, since it is smaller than the sum of its proper divisors (4224703789152).

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

1407013822368 is a wasteful number, since it uses less digits than its factorization.

1407013822368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1407013822368 in words is "one trillion, four hundred seven billion, thirteen million, eight hundred twenty-two thousand, three hundred sixty-eight".