1415456067630 has 384 divisors, whose sum is σ = 4009693363200. Its totient is φ = 318574080000.

The previous prime is 1415456067629. The next prime is 1415456067661. The reversal of 1415456067630 is 367606545141.

It is a self number, because there is not a number n which added to its sum of digits gives 1415456067630.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1687074751 + ... + 1687075589.

It is an arithmetic number, because the mean of its divisors is an integer number (10441909800).

Almost surely, 2^{1415456067630} is an apocalyptic number.

1415456067630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1415456067630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004846681600).

1415456067630 is an abundant number, since it is smaller than the sum of its proper divisors (2594237295570).

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

1415456067630 is a wasteful number, since it uses less digits than its factorization.

1415456067630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 1415456067630 in words is "one trillion, four hundred fifteen billion, four hundred fifty-six million, sixty-seven thousand, six hundred thirty".