419285000042496 has 2304 divisors, whose sum is σ = 1572755079168000. Its totient is φ = 108897164328960.

The previous prime is 419285000042483. The next prime is 419285000042497. The reversal of 419285000042496 is 694240000582914.

419285000042496 is a `hidden beast` number, since 4 + 1 + 9 + 2 + 8 + 500 + 0 + 0 + 42 + 4 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×419285000042496² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419285000042497) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 260587320540 + ... + 260587322148.

It is an arithmetic number, because the mean of its divisors is an integer number (682619392000).

Almost surely, 2^{419285000042496} 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 419285000042496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786377539584000).

419285000042496 is an abundant number, since it is smaller than the sum of its proper divisors (1153470079125504).

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

419285000042496 is a wasteful number, since it uses less digits than its factorization.

419285000042496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 419285000042496 in words is "four hundred nineteen trillion, two hundred eighty-five billion, forty-two thousand, four hundred ninety-six".