419987885612640 has 384 divisors, whose sum is σ = 1478461861578240. Its totient is φ = 99593159344128.

The previous prime is 419987885612627. The next prime is 419987885612653. The reversal of 419987885612640 is 46216588789914.

It is an interprime number because it is at equal distance from previous prime (419987885612627) and next prime (419987885612653).

It is a super-2 number, since 2×419987885612640² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54198687 + ... + 61461153.

It is an arithmetic number, because the mean of its divisors is an integer number (3850161097860).

Almost surely, 2^{419987885612640} is an apocalyptic number.

419987885612640 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 419987885612640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739230930789120).

419987885612640 is an abundant number, since it is smaller than the sum of its proper divisors (1058473975965600).

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

419987885612640 is a wasteful number, since it uses less digits than its factorization.

419987885612640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7262894 (or 7262886 counting only the distinct ones).

The product of its (nonzero) digits is 1672151040, while the sum is 78.

The spelling of 419987885612640 in words is "four hundred nineteen trillion, nine hundred eighty-seven billion, eight hundred eighty-five million, six hundred twelve thousand, six hundred forty".