419992404480 has 1280 divisors, whose sum is σ = 1706085089280. Its totient is φ = 97011302400.

The previous prime is 419992404451. The next prime is 419992404527. The reversal of 419992404480 is 84404299914.

It is a happy number.

419992404480 is a `hidden beast` number, since 4 + 199 + 9 + 2 + 4 + 0 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2427701674 + ... + 2427701846.

It is an arithmetic number, because the mean of its divisors is an integer number (1332878976).

Almost surely, 2^419992404480 is an apocalyptic number.

419992404480 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 419992404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853042544640).

419992404480 is an abundant number, since it is smaller than the sum of its proper divisors (1286092684800).

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

419992404480 is a wasteful number, since it uses less digits than its factorization.

419992404480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 419992404480 in words is "four hundred nineteen billion, nine hundred ninety-two million, four hundred four thousand, four hundred eighty".