414497334053712 has 640 divisors, whose sum is σ = 1350520978014208. Its totient is φ = 106645874227200.

The previous prime is 414497334053711. The next prime is 414497334053731. The reversal of 414497334053712 is 217350433794414.

It is a happy number.

It is a super-2 number, since 2×414497334053712² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414497334053711) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21222525387 + ... + 21222544917.

Almost surely, 2^{414497334053712} is an apocalyptic number.

414497334053712 is a gapful number since it is divisible by the number (42) 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 414497334053712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675260489007104).

414497334053712 is an abundant number, since it is smaller than the sum of its proper divisors (936023643960496).

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

414497334053712 is a wasteful number, since it uses less digits than its factorization.

414497334053712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20327 (or 20321 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 57.

The spelling of 414497334053712 in words is "four hundred fourteen trillion, four hundred ninety-seven billion, three hundred thirty-four million, fifty-three thousand, seven hundred twelve".