414450032640 has 448 divisors, whose sum is σ = 1527107399424. Its totient is φ = 94013227008.

The previous prime is 414450032627. The next prime is 414450032687. The reversal of 414450032640 is 46230054414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117840162 + ... + 117843678.

Almost surely, 2^414450032640 is an apocalyptic number.

414450032640 is a gapful number since it is divisible by the number (40) 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 414450032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763553699712).

414450032640 is an abundant number, since it is smaller than the sum of its proper divisors (1112657366784).

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

414450032640 is a wasteful number, since it uses less digits than its factorization.

414450032640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3695 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 414450032640 in words is "four hundred fourteen billion, four hundred fifty million, thirty-two thousand, six hundred forty".