419904131136 has 336 divisors, whose sum is σ = 1400252394816. Its totient is φ = 110287650816.

The previous prime is 419904131131. The next prime is 419904131147. The reversal of 419904131136 is 631131409914.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×419904131136³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (419904131131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6846720 + ... + 6907776.

Almost surely, 2^419904131136 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 419904131136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700126197408).

419904131136 is an abundant number, since it is smaller than the sum of its proper divisors (980348263680).

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

419904131136 is a wasteful number, since it uses less digits than its factorization.

419904131136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61146 (or 61129 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 419904131136 in words is "four hundred nineteen billion, nine hundred four million, one hundred thirty-one thousand, one hundred thirty-six".