419214551490 has 480 divisors, whose sum is σ = 1385826900480. Its totient is φ = 90478612224.

The previous prime is 419214551477. The next prime is 419214551533. The reversal of 419214551490 is 94155412914.

419214551490 is a `hidden beast` number, since 4 + 1 + 9 + 2 + 1 + 4 + 551 + 4 + 90 = 666.

It is a super-2 number, since 2×419214551490² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 72113824 + ... + 72119636.

It is an arithmetic number, because the mean of its divisors is an integer number (2887139376).

Almost surely, 2^419214551490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419214551490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692913450240).

419214551490 is an abundant number, since it is smaller than the sum of its proper divisors (966612348990).

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

419214551490 is a wasteful number, since it uses less digits than its factorization.

419214551490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5948 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 419214551490 in words is "four hundred nineteen billion, two hundred fourteen million, five hundred fifty-one thousand, four hundred ninety".