419342371272 has 480 divisors, whose sum is σ = 1343160403200. Its totient is φ = 121993724160.

The previous prime is 419342371241. The next prime is 419342371307. The reversal of 419342371272 is 272173243914.

419342371272 is a `hidden beast` number, since 4 + 1 + 9 + 3 + 4 + 2 + 371 + 272 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 507064123 + ... + 507064949.

It is an arithmetic number, because the mean of its divisors is an integer number (2798250840).

Almost surely, 2^419342371272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419342371272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671580201600).

419342371272 is an abundant number, since it is smaller than the sum of its proper divisors (923818031928).

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

419342371272 is a wasteful number, since it uses less digits than its factorization.

419342371272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1095 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 419342371272 in words is "four hundred nineteen billion, three hundred forty-two million, three hundred seventy-one thousand, two hundred seventy-two".