1407487648160 has 384 divisors, whose sum is σ = 3833354004480. Its totient is φ = 483640934400.

The previous prime is 1407487648109. The next prime is 1407487648163. The reversal of 1407487648160 is 618467847041.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1407487648096 and 1407487648105.

It is not an unprimeable number, because it can be changed into a prime (1407487648163) 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, 673760396 + ... + 673762484.

It is an arithmetic number, because the mean of its divisors is an integer number (9982692720).

Almost surely, 2^{1407487648160} is an apocalyptic number.

1407487648160 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 1407487648160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916677002240).

1407487648160 is an abundant number, since it is smaller than the sum of its proper divisors (2425866356320).

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

1407487648160 is a wasteful number, since it uses less digits than its factorization.

1407487648160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 56.

The spelling of 1407487648160 in words is "one trillion, four hundred seven billion, four hundred eighty-seven million, six hundred forty-eight thousand, one hundred sixty".